We included **HMH Into Math Grade 5 Answer Key**** PDF** **Module 7 Add and Subtract Fractions and Mixed Numbers with Unlike Denominators **to make students experts in learning maths.

## HMH Into Math Grade 5 Module 7 Answer Key Add and Subtract Fractions and Mixed Numbers with Unlike Denominators

**Can you place the numbers?**

- Use each of the numbers on the cards to write an equation using mixed numbers with like denominators.

Answer:

We have to use all the numbers to find the sum of the mixed numbers.

2\(\frac{6}{8}\) + 5\(\frac{8}{8}\) = 8\(\frac{3}{4}\)

**Turn and Talk**

- How did you solve the problem?

**Are You Ready?**

**Complete these problems to review prior concepts and skills you will need for this module.**

**Explore Mixed Numbers**

**Write the fraction as a mixed number.**

Question 1.

\(\frac{8}{5}\) = ___

Answer:

Convert from improper fraction to mixed fraction.

\(\frac{8}{5}\) = 1\(\frac{3}{5}\)

So, \(\frac{8}{5}\) in the mixed number can be written as 1\(\frac{3}{5}\)

Question 2.

\(\frac{13}{5}\) = ___

Answer:

Convert from improper fraction to mixed fraction.

\(\frac{13}{5}\) = 2\(\frac{3}{5}\)

So, \(\frac{13}{5}\) in the mixed number can be written as 2\(\frac{3}{5}\)

Question 3.

\(\frac{11}{5}\) = ___

Answer:

Convert from improper fraction to mixed fraction.

\(\frac{11}{5}\) = 2\(\frac{1}{5}\)

So, \(\frac{11}{5}\) in the mixed number can be written as 2\(\frac{1}{5}\)

Question 4.

\(\frac{12}{5}\) = ___

Answer:

Convert from improper fraction to mixed fraction.

\(\frac{12}{5}\) = 2\(\frac{2}{5}\)

So, \(\frac{12}{5}\) in the mixed number can be written as 2\(\frac{2}{5}\)

Question 5.

\(\frac{6}{5}\) = ___

Answer:

Convert from improper fraction to mixed fraction.

\(\frac{6}{5}\) = 1\(\frac{1}{5}\)

So, \(\frac{6}{5}\) in the mixed number can be written as 1\(\frac{1}{5}\)

Question 6.

\(\frac{14}{5}\) = ___

Answer:

Convert from improper fraction to mixed fraction.

\(\frac{14}{5}\) = 2\(\frac{4}{5}\)

So, \(\frac{14}{5}\) in the mixed number can be written as 2\(\frac{4}{5}\)

**Equivalent Fractions**

**Complete the equation to show how the two fractions are equivalent.**

Question 7.

Answer:

The equivalent fraction of 1/4 is 2/8.

Question 8.

Answer:

The equivalent fraction of 2/3 is 4/6

**Add and Subtract Fractions**

**Find the sum or difference.**

Question 9.

\(\frac{2}{8}\) + \(\frac{5}{8}\) = ___

Answer:

The denominator of both the fractions is the same.

So, We can add the numerator.

\(\frac{2}{8}\) + \(\frac{5}{8}\) = \(\frac{7}{8}\)

Question 10.

\(\frac{7}{9}\) – \(\frac{1}{9}\) = ___

Answer:

The denominator of both the fractions is the same.

\(\frac{7}{9}\) – \(\frac{1}{9}\) = \(\frac{6}{9}\) = \(\frac{2}{3}\)

Question 11.

\(\frac{1}{6}\) + \(\frac{1}{6}\) = ___

Answer:

The denominator of both the fractions is the same.

So, We can add the numerator.

\(\frac{1}{6}\) + \(\frac{1}{6}\) = \(\frac{2}{6}\) = \(\frac{1}{3}\)

Question 12.

\(\frac{1}{5}\) + \(\frac{2}{5}\) = ___

Answer:

The denominator of both the fractions is the same.

So, We can add the numerator.

\(\frac{1}{5}\) + \(\frac{2}{5}\) = \(\frac{3}{5}\)

Question 13.

\(\frac{2}{3}\) + \(\frac{1}{3}\) = ___

Answer:

The denominator of both the fractions is the same.

So, We can add the numerator.

\(\frac{2}{3}\) + \(\frac{1}{3}\) = \(\frac{3}{3}\) = 1

Question 14.

\(\frac{6}{7}\) – \(\frac{1}{7}\) = ___

Answer:

The denominator of both the fractions is the same.

\(\frac{6}{7}\) – \(\frac{1}{7}\) = \(\frac{5}{7}\)

Question 15.

\(\frac{7}{9}\) – \(\frac{2}{9}\) = ___

Answer:

The denominator of both the fractions is the same.

\(\frac{7}{9}\) – \(\frac{2}{9}\) = \(\frac{5}{9}\)

Question 16.

\(\frac{7}{8}\) – \(\frac{3}{8}\) = ___

Answer:

The denominator of both the fractions is the same.

\(\frac{7}{8}\) – \(\frac{3}{8}\) = \(\frac{4}{8}\) = \(\frac{1}{2}\)

Question 17.

\(\frac{1}{4}\) + \(\frac{1}{4}\) = ___

Answer:

The denominator of both the fractions is the same.

So, We can add the numerator.

\(\frac{1}{4}\) + \(\frac{1}{4}\) = \(\frac{2}{4}\)