This handy **Spectrum Math Grade 4 Answer Key Chapter 6 Lesson 6.12 Subtracting Mixed Numerals with Like Denominators** provides detailed answers for the workbook questions.

## Spectrum Math Grade 4 Chapter 6 Lesson 6.12 Subtracting Mixed Numerals with Like Denominators Answers Key

\(\frac{2}{8}\) is less than \(\frac{3}{8}\). Rename 3\(\frac{3}{8}\).

Subtract the fractions.

Subtract the whole numbers.

3 = 2 + 1 + \(\frac{2}{8}\)

= 2 + \(\frac{8}{8}\) + \(\frac{2}{8}\) = 2\(\frac{10}{8}\)

**Subtract. Write answers in simplest form.**

Question 1.

a.

Answer:

2\(\frac{1}{2}\)

Explanation:

Subtract the numerators, when denominators of the fraction are same.

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

Reduce to the simplest form.

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

Then subtract the whole numbers.

3 – 1 = 2

So, 2\(\frac{1}{2}\)

b.

Answer:

4\(\frac{1}{7}\)

Explanation:

Subtract the numerators, when denominators of the fraction are same.

\(\frac{2}{7}\) – \(\frac{1}{7}\) = \(\frac{1}{7}\)

Then subtract the whole numbers.

6 – 2 = 4

So, 4\(\frac{1}{7}\)

c.

Answer:

6\(\frac{1}{4}\)

Explanation:

Subtract the numerators, when denominators of the fraction are same.

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

Reduce to the simplest form.

\(\frac{2}{8} \div \frac{2}{2}\) = \(\frac{1}{4}\)

Then subtract the whole numbers.

9 – 3 = 6

So, 6\(\frac{1}{4}\)

d.

Answer:

4\(\frac{2}{3}\)

Explanation:

Subtract the numerators, when denominators of the fraction are same.

\(\frac{5}{6}\) – \(\frac{1}{6}\) = \(\frac{4}{6}\)

Reduce to the simplest form.

\(\frac{4}{6} \div \frac{2}{2}\) = \(\frac{2}{3}\)

Then subtract the whole numbers.

8 – 4 = 4

So, 4\(\frac{2}{3}\)

e.

Answer:

3\(\frac{1}{4}\)

Explanation:

Subtract the numerators, when denominators of the fraction are same.

\(\frac{5}{8}\) – \(\frac{3}{8}\) = \(\frac{2}{8}\)

Reduce to the simplest form.

\(\frac{2}{8} \div \frac{2}{2}\) = \(\frac{1}{4}\)

Then subtract the whole numbers.

6 – 3 = 3

So, 3\(\frac{1}{4}\)

Question 2.

a.

Answer:

3\(\frac{1}{3}\)

Explanation:

Subtract the numerators, when denominators of the fraction are same.

\(\frac{7}{9}\) – \(\frac{4}{9}\) = \(\frac{3}{9}\)

Reduce to the simplest form.

\(\frac{3}{9} \div \frac{3}{3}\) = \(\frac{1}{3}\)

Then subtract the whole numbers.

7 – 4 = 3

So, 3\(\frac{1}{3}\)

b.

Answer:

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

Explanation:

Subtract the numerators, when denominators of the fraction are same.

\(\frac{7}{10}\) – \(\frac{1}{10}\) = \(\frac{6}{10}\)

Reduce to the simplest form.

\(\frac{6}{10} \div \frac{2}{2}\) = \(\frac{3}{5}\)

Then subtract the whole numbers.

5 – 3 = 2

So, 2\(\frac{3}{5}\)

c.

Answer:

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

Explanation:

Subtract the numerators, when denominators of the fraction are same.

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

Then subtract the whole numbers.

6 – 4 = 2

So, 2\(\frac{1}{5}\)

d.

Answer:

2

Explanation:

Subtract the numerators, when denominators of the fraction are same.

\(\frac{3}{7}\) – \(\frac{3}{7}\) = 0

Then subtract the whole numbers.

9 – 7 = 2

e.

Answer:

1\(\frac{5}{9}\)

Explanation:

Subtract the numerators, when denominators of the fraction are same.

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

Then subtract the whole numbers.

8 – 7 = 1

So, 1\(\frac{5}{9}\)

Question 3.

a.

Answer:

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

Explanation:

Subtract the numerators, when denominators of the fraction are same.

\(\frac{4}{11}\) – \(\frac{3}{11}\) = \(\frac{1}{11}\)

Then subtract the whole numbers.

6 – 1 = 5

So, 5\(\frac{1}{11}\)

b.

Answer:

1\(\frac{4}{5}\)

Explanation:

Subtract the numerators, when denominators of the fraction are same.

\(\frac{9}{10}\) – \(\frac{1}{10}\) = \(\frac{8}{10}\)

Reduce to the simplest form.

\(\frac{8}{10} \div \frac{2}{2}\) = \(\frac{4}{5}\)

Then subtract the whole numbers.

4 – 3 = 1

So, 1\(\frac{4}{5}\)

c.

Answer:

1

Explanation:

Subtract the numerators, when denominators of the fraction are same.

\(\frac{5}{6}\) – \(\frac{5}{6}\) = 0

Then subtract the whole numbers.

6 – 5 = 1

d.

Answer:

3

Explanation:

Subtract the numerators, when denominators of the fraction are same.

\(\frac{3}{8}\) – \(\frac{3}{8}\) = 0

Then subtract the whole numbers.

8 – 5 = 3

e.

Answer:

1\(\frac{1}{7}\)

Explanation:

Subtract the numerators, when denominators of the fraction are same.

\(\frac{5}{7}\) – \(\frac{4}{7}\) = \(\frac{1}{7}\)

Then subtract the whole numbers.

7 – 6 = 1

So, 1\(\frac{1}{7}\)

Question 4.

a.

Answer:

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

Explanation:

Subtract the numerators, when denominators of the fraction are same.

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

Then subtract the whole numbers.

6 – 5 = 1

So, 1\(\frac{2}{5}\)

b.

Answer:

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

Explanation:

Subtract the numerators, when denominators of the fraction are same.

\(\frac{5}{7}\) – \(\frac{2}{7}\) = \(\frac{3}{7}\)

Then subtract the whole numbers.

4 – 1 = 3

So, 3\(\frac{3}{7}\)

c.

Answer:

5\(\frac{3}{5}\)

Explanation:

Subtract the numerators, when denominators of the fraction are same.

\(\frac{9}{10}\) – \(\frac{3}{10}\) = \(\frac{6}{10}\)

Reduce to the simplest form.

\(\frac{6}{10} \div \frac{2}{2}\) = \(\frac{3}{5}\)

Then subtract the whole numbers.

7 – 2 = 5

So, 5\(\frac{3}{5}\)

d.

Answer:

7\(\frac{1}{3}\)

Explanation:

Subtract the numerators, when denominators of the fraction are same.

\(\frac{11}{12}\) – \(\frac{7}{12}\) = \(\frac{5}{12}\)

Then subtract the whole numbers.

8 – 1 = 7

So, 7\(\frac{1}{3}\)

e.

Answer:

3\(\frac{1}{9}\)

Explanation:

Subtract the numerators, when denominators of the fraction are same.

\(\frac{8}{9}\) – \(\frac{7}{9}\) = \(\frac{1}{9}\)

Then subtract the whole numbers.

6 – 3 = 3

So, 3\(\frac{1}{9}\)