Write 2 6 In Lowest Terms

There are two cases regarding the denominators when we subtract ordinary fractions:

1. 18 30 In Lowest Terms
2. 2 6 In Simplest Form
3. Lowest Terms Calculator

• A. the fractions have like denominators;
• B. the fractions have unlike denominators.

Use the total number as the denominator: 6 + 8 = 14; Use each of the ratio terms as the numerator in a fraction: 6 becomes 6/14 8 becomes 8/14 Reduce each fraction to lowest terms: 6/14 simplifies to 3/7. Divide both the numerator and denominator by the GCD 3 ÷ 3 / 6 ÷ 3; Reduced fraction: 1 / 2 Therefore, 3/6 simplified to lowest terms is 1/2. MathStep (Works offline) Download our mobile app and learn to work with fractions in your own time: Android and iPhone/ iPad. Equivalent fractions: 6 / 12 9 / 18 1 / 2 15 / 30 21 / 42. More fractions: 6.

Write in lowest terms (5k^2-13k-6)/(5k+2) See answers (2) Ask for details; Follow Report Log in to add a comment Answer 1. Taffy927x2 learned from this answer You've got: (5k^2-13k-6)/5k+2 then, we can break the brackets and operate the fraction = 5k^2-13K-6/5k+2. The numerator of the second fraction is 2 because 6 divided by 3 is 2. The denominator of the second fraction is 3 because 9 divided by 3 is 3. You can see by the illustration that you are actually dividing by 3 ⁄ 3, a form of one(1). After an equivalent fraction in lowest terms is entered, the number line for the second fraction will appear. 6/9 = 2/3 in its lowest terms. 0.048 as a fraction? 0.048 as a fraction in its lowest terms is 6/125. What is an equivalent fraction 15 18ths? To get the equivalent fractions of 15/18:1.

A. How to subtract ordinary fractions that have like denominators?

• Simply subtract the numerators of the fractions.
• The denominator of the resulting fraction will be the common denominator of the fractions.
• Reduce the resulting fraction.

An example of subtracting ordinary fractions that have like denominators, with explanations

• ³/₁₈ + ⁴/₁₈ - ⁵/₁₈ = ^{(3 + 4 - 5)}/₁₈ = ²/₁₈;

• We simply subtracted the numerators of the fractions: 3 + 4 - 5 = 2;
• The denominator of the resulting fraction is: 18;

• The resulting fraction is being reduced as: ²/₁₈ = ^{(2 ÷ 2)}/_{(18 ÷ 2)} = ¹/₉.

• How to reduce (simplify) the common fraction ²/₁₈?

B. To subtract fractions with different denominators (unlike denominators), build up the fractions to the same denominator. How is it done?

• 1. Reduce the fractions to the lowest terms (simplify them).

  • Factor the numerator and the denominator of each fraction, break them down to prime factors (run their prime factorization).
  • Calculate GCF, the greatest common factor of the numerator and of the denominator of each fraction.
  • GCF is the product of all the unique common prime factors of the numerator and of the denominator, multiplied by the lowest exponents.
  • Divide the numerator and the denominator of each fraction by their GCF - after this operation the fraction is reduced to its lowest terms equivalent.

• 2. Calculate the least common multiple, LCM, of all the fractions' new denominators:

  • LCM is going to be the common denominator of the added fractions, also called the lowest common denominator (the least common denominator).
  • Factor all the new denominators of the reduced fractions (run the prime factorization).
  • The least common multiple, LCM, is the product of all the unique prime factors of the denominators, multiplied by the largest exponents.

• 3. Calculate each fraction's expanding number:

  • The expanding number is the non-zero number that will be used to multiply both the numerator and the denominator of each fraction, in order to build all the fractions up to the same common denominator.
  • Divide the least common multiple, LCM, calculated above, by the denominator of each fraction, in order to calculate each fraction's expanding number.

• 4. Expand each fraction:

  • Multiply each fraction's both numerator and denominator by the expanding number.
  • At this point, fractions are built up to the same denominator.

• 5. Subtract the fractions:

  • In order to subtract all the fractions simply subtract all the fractions' numerators.
  • The end fraction will have as a denominator the least common multiple, LCM, calculated above.

• 6. Reduce the end fraction to the lowest terms, if needed.

An example of subtracting fractions that have different denominators (unlike denominators), step by step explanations

• ⁶/₉₀ + ¹⁶/₂₄ - ³⁰/₇₅ = ?

• 1. Reduce the fractions to the lowest terms (simplify them):

  • ⁶/₉₀ = ^{(2 × 3)} / _{(2 × 3² × 5)} = ^{((2 × 3) ÷ (2 × 3))} / _{((2 × 3² × 5) ÷ (2 × 3))} = ¹/_{(3 × 5)} = ¹/₁₅

    ¹⁶/₂₄ = ²⁴ / _{(2³ × 3)} = ^{(24 ÷ 23)} / _{((2³ × 3) ÷ 2³)} = ²/₃

    ³⁰/₇₅ = ^{(2 × 3 × 5)} / _{(3 × 5²)} = ^{((2 × 3 × 5) ÷ (3 × 5))} / _{((3 × 2⁵) ÷ (3 × 5))} = ²/₅

    The reduced fractions: ⁶/₉₀ + ¹⁶/₂₄ - ³⁰/₇₅ = ¹/₁₅ + ²/₃ - ²/₅

• 2. Calculate the least common multiple, LCM, of all the fractions' new denominators

  • Factor all the denominators, break them down to their prime factors, then multiply all these prime factors, uniquely, by the largest exponents.

  • 15 = 3 × 5

    3 is already a prime number, it cannot be factored anymore

    5 is a prime number, it cannot be factored anymore

    LCM (15, 3, 5) = LCM (3 × 5, 3, 5) = 3 × 5 = 15

• 3. Calculate each fraction's expanding number:

  • Divide the least common multiple, LCM, by the denominator of each fraction.

  • For the first fraction: 15 ÷ 15 = 1

    For the second fraction: 15 ÷ 3 = 5

    For the third fraction: 15 ÷ 5 = 3

• 4. Expand each fraction:

  • Multiply both the numerator and the denominator of each fraction by their expanding number.

  • The first fraction stays unchanged: ¹/₁₅ = ^{(1 × 1)}/_{(1 × 15)} = ¹/₁₅

    The second fraction expands to: ²/₃ = ^{(5 × 2)}/_{(5 × 3)} = ¹⁰/₁₅

    The third fraction expands to: ²/₅ = ^{(3 × 2)}/_{(3 × 5)} = ⁶/₁₅

• 5. Subtract the fractions:

  • Simply subtract the numerators of the fractions. The denominator = LCM.

  • ⁶/₉₀ + ¹⁶/₂₄ - ³⁰/₇₅ = ¹/₁₅ + ²/₃ - ²/₅ = ¹/₁₅ + ¹⁰/₁₅ - ⁶/₁₅ = ^{(1 + 10 - 6)} / ₁₅ = ⁵/₁₅

• 6. Reduce the end fraction to the lowest terms, if needed.

  • ⁵/₁₅ = ^{(5 ÷ 5)}/_{(15 ÷ 5)} = ¹/₃

Problem: One team won 18 out of every 25 games, and another team won 72% of all games played. Which team has a better winning record?

We know from previous lessons that a percent is a ratio whose second term is 100. So we get the following:

72% = 72 out of 100 =and

18 out of 25 ==

Solution: Both teams have the same winning record.

Any percent can be written as a fraction in lowest terms. One method for reducing a fraction to lowest terms is to divide both the numerator and the denominator by theirgreatest common factor(GCF). Let's look at an example of this.

Example 1: Write each percent as a fraction in lowest terms: 55%, 41%, 36%

In Example 1, the GCF of 55 and 100 is 5; the GCF of 41 and 100 is 1; and the GCF of 36 and 100 is 4. Note that when the GCF is 1, this means that the fraction is already in lowest terms. Let's look at some more examples.

Example 2: Write each percent as a fraction in lowest terms: 7%, 12.5%, 62.5%

Example 3: Write each percent as a fraction in lowest terms: 67.5%, 56.25%, 13.1%

Summary: To write a percent as a fraction in lowest terms, follow these steps:

1. Write the percent as a fraction with a denominator of 100.
2. Reduce the fraction to lowest terms.

Exercises

Directions: Read each question below. Select your answer by clicking on its button. Football manager 2019 ps4. Immediate feedback is provided in the RESULTS BOX. If you make a mistake, choose a different button.

18 30 In Lowest Terms

Use the total number as the denominator: 6 + 8 = 14; Use each of the ratio terms as the numerator in a fraction: 6 becomes 6/14 8 becomes 8/14 Reduce each fraction to lowest terms: 6/14 simplifies to 3/7. Divide both the numerator and denominator by the GCD 3 ÷ 3 / 6 ÷ 3; Reduced fraction: 1 / 2 Therefore, 3/6 simplified to lowest terms is 1/2. MathStep (Works offline) Download our mobile app and learn to work with fractions in your own time: Android and iPhone/ iPad. Equivalent fractions: 6 / 12 9 / 18 1 / 2 15 / 30 21 / 42. More fractions: 6.

Write in lowest terms (5k^2-13k-6)/(5k+2) See answers (2) Ask for details; Follow Report Log in to add a comment Answer 1. Taffy927x2 learned from this answer You've got: (5k^2-13k-6)/5k+2 then, we can break the brackets and operate the fraction = 5k^2-13K-6/5k+2. The numerator of the second fraction is 2 because 6 divided by 3 is 2. The denominator of the second fraction is 3 because 9 divided by 3 is 3. You can see by the illustration that you are actually dividing by 3 ⁄ 3, a form of one(1). After an equivalent fraction in lowest terms is entered, the number line for the second fraction will appear. 6/9 = 2/3 in its lowest terms. 0.048 as a fraction? 0.048 as a fraction in its lowest terms is 6/125. What is an equivalent fraction 15 18ths? To get the equivalent fractions of 15/18:1.

A. How to subtract ordinary fractions that have like denominators?

• Simply subtract the numerators of the fractions.
• The denominator of the resulting fraction will be the common denominator of the fractions.
• Reduce the resulting fraction.

An example of subtracting ordinary fractions that have like denominators, with explanations

• ³/₁₈ + ⁴/₁₈ - ⁵/₁₈ = ^{(3 + 4 - 5)}/₁₈ = ²/₁₈;

• We simply subtracted the numerators of the fractions: 3 + 4 - 5 = 2;
• The denominator of the resulting fraction is: 18;

• The resulting fraction is being reduced as: ²/₁₈ = ^{(2 ÷ 2)}/_{(18 ÷ 2)} = ¹/₉.

• How to reduce (simplify) the common fraction ²/₁₈?

B. To subtract fractions with different denominators (unlike denominators), build up the fractions to the same denominator. How is it done?

• 1. Reduce the fractions to the lowest terms (simplify them).

  • Factor the numerator and the denominator of each fraction, break them down to prime factors (run their prime factorization).
  • Calculate GCF, the greatest common factor of the numerator and of the denominator of each fraction.
  • GCF is the product of all the unique common prime factors of the numerator and of the denominator, multiplied by the lowest exponents.
  • Divide the numerator and the denominator of each fraction by their GCF - after this operation the fraction is reduced to its lowest terms equivalent.

• 2. Calculate the least common multiple, LCM, of all the fractions' new denominators:

  • LCM is going to be the common denominator of the added fractions, also called the lowest common denominator (the least common denominator).
  • Factor all the new denominators of the reduced fractions (run the prime factorization).
  • The least common multiple, LCM, is the product of all the unique prime factors of the denominators, multiplied by the largest exponents.

• 3. Calculate each fraction's expanding number:

  • The expanding number is the non-zero number that will be used to multiply both the numerator and the denominator of each fraction, in order to build all the fractions up to the same common denominator.
  • Divide the least common multiple, LCM, calculated above, by the denominator of each fraction, in order to calculate each fraction's expanding number.

• 4. Expand each fraction:

  • Multiply each fraction's both numerator and denominator by the expanding number.
  • At this point, fractions are built up to the same denominator.

• 5. Subtract the fractions:

  • In order to subtract all the fractions simply subtract all the fractions' numerators.
  • The end fraction will have as a denominator the least common multiple, LCM, calculated above.

• 6. Reduce the end fraction to the lowest terms, if needed.

An example of subtracting fractions that have different denominators (unlike denominators), step by step explanations

• ⁶/₉₀ + ¹⁶/₂₄ - ³⁰/₇₅ = ?

• 1. Reduce the fractions to the lowest terms (simplify them):

  • ⁶/₉₀ = ^{(2 × 3)} / _{(2 × 3² × 5)} = ^{((2 × 3) ÷ (2 × 3))} / _{((2 × 3² × 5) ÷ (2 × 3))} = ¹/_{(3 × 5)} = ¹/₁₅

    ¹⁶/₂₄ = ²⁴ / _{(2³ × 3)} = ^{(24 ÷ 23)} / _{((2³ × 3) ÷ 2³)} = ²/₃

    ³⁰/₇₅ = ^{(2 × 3 × 5)} / _{(3 × 5²)} = ^{((2 × 3 × 5) ÷ (3 × 5))} / _{((3 × 2⁵) ÷ (3 × 5))} = ²/₅

    The reduced fractions: ⁶/₉₀ + ¹⁶/₂₄ - ³⁰/₇₅ = ¹/₁₅ + ²/₃ - ²/₅

• 2. Calculate the least common multiple, LCM, of all the fractions' new denominators

  • Factor all the denominators, break them down to their prime factors, then multiply all these prime factors, uniquely, by the largest exponents.

  • 15 = 3 × 5

    3 is already a prime number, it cannot be factored anymore

    5 is a prime number, it cannot be factored anymore

    LCM (15, 3, 5) = LCM (3 × 5, 3, 5) = 3 × 5 = 15

• 3. Calculate each fraction's expanding number:

  • Divide the least common multiple, LCM, by the denominator of each fraction.

  • For the first fraction: 15 ÷ 15 = 1

    For the second fraction: 15 ÷ 3 = 5

    For the third fraction: 15 ÷ 5 = 3

• 4. Expand each fraction:

  • Multiply both the numerator and the denominator of each fraction by their expanding number.

  • The first fraction stays unchanged: ¹/₁₅ = ^{(1 × 1)}/_{(1 × 15)} = ¹/₁₅

    The second fraction expands to: ²/₃ = ^{(5 × 2)}/_{(5 × 3)} = ¹⁰/₁₅

    The third fraction expands to: ²/₅ = ^{(3 × 2)}/_{(3 × 5)} = ⁶/₁₅

• 5. Subtract the fractions:

  • Simply subtract the numerators of the fractions. The denominator = LCM.

  • ⁶/₉₀ + ¹⁶/₂₄ - ³⁰/₇₅ = ¹/₁₅ + ²/₃ - ²/₅ = ¹/₁₅ + ¹⁰/₁₅ - ⁶/₁₅ = ^{(1 + 10 - 6)} / ₁₅ = ⁵/₁₅

• 6. Reduce the end fraction to the lowest terms, if needed.

  • ⁵/₁₅ = ^{(5 ÷ 5)}/_{(15 ÷ 5)} = ¹/₃

Problem: One team won 18 out of every 25 games, and another team won 72% of all games played. Which team has a better winning record?

We know from previous lessons that a percent is a ratio whose second term is 100. So we get the following:

72% = 72 out of 100 =and

18 out of 25 ==

Solution: Both teams have the same winning record.

Any percent can be written as a fraction in lowest terms. One method for reducing a fraction to lowest terms is to divide both the numerator and the denominator by theirgreatest common factor(GCF). Let's look at an example of this.

Example 1: Write each percent as a fraction in lowest terms: 55%, 41%, 36%

In Example 1, the GCF of 55 and 100 is 5; the GCF of 41 and 100 is 1; and the GCF of 36 and 100 is 4. Note that when the GCF is 1, this means that the fraction is already in lowest terms. Let's look at some more examples.

Example 2: Write each percent as a fraction in lowest terms: 7%, 12.5%, 62.5%

Example 3: Write each percent as a fraction in lowest terms: 67.5%, 56.25%, 13.1%

Summary: To write a percent as a fraction in lowest terms, follow these steps:

1. Write the percent as a fraction with a denominator of 100.
2. Reduce the fraction to lowest terms.

Exercises

Directions: Read each question below. Select your answer by clicking on its button. Football manager 2019 ps4. Immediate feedback is provided in the RESULTS BOX. If you make a mistake, choose a different button.

18 30 In Lowest Terms

2 6 In Simplest Form

Lowest Terms Calculator