Verified Answer :

W0lf93

To write the given fraction ,as a sum or difference of any two fractions, we break the numerator into two parts. i.e. we write 3n + 5 as separately 3n and 5 to get two fractions. The denominator will come with both the parts of the separated numerator. Thsu, the new fraction will be 3n/7 + 5/7.

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Write each fraction as a sum or difference. \(\frac{3n+5}{7}\): \(\frac{3n}{7} + \frac{5}{7}\)

Further explanation

The fraction is a number that represents a part of a whole. It consists of a numerator and a denominator. The numerator represents the number of equal parts of a whole, while the denominator is the total number of parts that make up whole. The lowest common denominator is the lowest common multiple of the denominators of a set of fractions. It simplifies adding, subtracting, and comparing fractions. The fraction is a number that represents a part of a whole.

Simplify: \(\frac{5}{7}\)

Rewriting the whole as an Equivalent Fraction :

Adding a fraction to a whole
. Then rewrite the whole as a fraction using  7  as the denominator :

\(\frac{3n}{7}\)

Where equivalent fraction is the fraction, thus generated looks different but has the same value as the whole
. And common denominator is the equivalent fraction and the other fraction involved in the calculation share the same denominator

Then we can add the two equivalent fractions which now have a common denominator.  Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible

\(\frac{3n}{7} + \frac{5}{7}\)

Learn more

  1. Learn more about fraction https://brainly.com/question/275925
  2. Learn more about numerators https://brainly.com/question/3612844
  3. Learn more
    about denominator https://brainly.com/question/379459


Answer details

Grade:  5

Subject:  math

Chapter:  fraction

Keywords:  fraction, denominator, numerators, math, the common denominator

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