# Spectrum Math Grade 4 Chapter 6 Lesson 5 Answer Key Subtracting Fractions with Like Denominators

This handy Spectrum Math Grade 4 Answer Key Chapter 6 Lesson 6.5 Subtracting Fractions with Like Denominators provides detailed answers for the workbook questions.

## Spectrum Math Grade 4 Chapter 6 Lesson 6.5 Subtracting Fractions with Like Denominators Answers Key

Subtract the numerators.
$$\frac{7}{12}$$ – $$\frac{5}{12}$$ = $$\frac{7-5}{12}$$ = $$\frac{2}{12}$$
Write the difference over the common denominator.

Subtract.

Question 1.
a.

$$\frac{8}{12}$$

Explanation:
When denominators are same, subtract the numerators.
$$\frac{11}{12}$$ – $$\frac{3}{12}$$ = $$\frac{11-3}{12}$$ = $$\frac{8}{12}$$
Write the difference over the common denominator as shown above.

b.

$$\frac{4}{10}$$

Explanation:
When denominators are same, subtract the numerators.
$$\frac{7}{10}$$ – $$\frac{3}{10}$$ = $$\frac{7-3}{10}$$ = $$\frac{4}{10}$$
Write the difference over the common denominator as shown above.

c.

$$\frac{2}{4}$$

Explanation:
When denominators are same, subtract the numerators.
$$\frac{3}{4}$$ – $$\frac{1}{4}$$ = $$\frac{3-1}{4}$$ = $$\frac{2}{4}$$
Write the difference over the common denominator as shown above.

d.

$$\frac{1}{7}$$

Explanation:
When denominators are same, subtract the numerators.
$$\frac{6}{7}$$ – $$\frac{5}{7}$$ = $$\frac{6-5}{7}$$ = $$\frac{1}{7}$$
Write the difference over the common denominator as shown above.

e.

$$\frac{1}{5}$$

Explanation:
When denominators are same, subtract the numerators.
$$\frac{4}{5}$$ – $$\frac{3}{5}$$ = $$\frac{4-3}{5}$$ = $$\frac{1}{5}$$
Write the difference over the common denominator as shown above.

Question 2.
a.

$$\frac{2}{10}$$

Explanation:
When denominators are same, subtract the numerators.
$$\frac{5}{10}$$ – $$\frac{3}{10}$$ = $$\frac{5-3}{10}$$ = $$\frac{2}{10}$$
Write the difference over the common denominator as shown above.

b.

$$\frac{1}{12}$$

Explanation:
When denominators are same, subtract the numerators.
$$\frac{8}{12}$$ – $$\frac{7}{12}$$ = $$\frac{8-7}{12}$$ = $$\frac{1}{12}$$
Write the difference over the common denominator as shown above.

c.

$$\frac{2}{5}$$

Explanation:
When denominators are same, subtract the numerators.
$$\frac{4}{5}$$ – $$\frac{2}{5}$$ = $$\frac{4-2}{5}$$ = $$\frac{2}{5}$$
Write the difference over the common denominator as shown above.

d.

$$\frac{3}{10}$$

Explanation:
When denominators are same, subtract the numerators.
$$\frac{7}{10}$$ – $$\frac{4}{10}$$ = $$\frac{7-4}{10}$$ = $$\frac{3}{10}$$
Write the difference over the common denominator as shown above.

e.

$$\frac{4}{8}$$

Explanation:
When denominators are same, subtract the numerators.
$$\frac{5}{8}$$ – $$\frac{1}{8}$$ = $$\frac{5-1}{8}$$ = $$\frac{4}{8}$$
Write the difference over the common denominator as shown above.

Question 3.
a.

$$\frac{6}{10}$$

Explanation:
When denominators are same, subtract the numerators.
$$\frac{9}{10}$$ – $$\frac{3}{10}$$ = $$\frac{9-3}{10}$$ = $$\frac{6}{10}$$
Write the difference over the common denominator as shown above.

b.

$$\frac{2}{11}$$

Explanation:
When denominators are same, subtract the numerators.
$$\frac{7}{11}$$ – $$\frac{5}{11}$$ = $$\frac{7-5}{11}$$ = $$\frac{2}{11}$$
Write the difference over the common denominator as shown above.

c.

$$\frac{7}{9}$$

Explanation:
When denominators are same, subtract the numerators.
$$\frac{8}{9}$$ – $$\frac{1}{9}$$ = $$\frac{8-1}{9}$$ = $$\frac{7}{9}$$
Write the difference over the common denominator as shown above.

d.

$$\frac{2}{5}$$

Explanation:
When denominators are same, subtract the numerators.
$$\frac{4}{5}$$ – $$\frac{2}{5}$$ = $$\frac{4-2}{5}$$ = $$\frac{2}{5}$$
Write the difference over the common denominator as shown above.

e.

$$\frac{2}{9}$$

Explanation:
When denominators are same, subtract the numerators.
$$\frac{8}{9}$$ – $$\frac{6}{9}$$ = $$\frac{8-6}{9}$$ = $$\frac{2}{9}$$
Write the difference over the common denominator as shown above.

Question 4.
a. $$\frac{5}{7}$$ – $$\frac{3}{7}$$ = _______________
$$\frac{2}{7}$$

Explanation:
When denominators are same, subtract the numerators.
$$\frac{5}{7}$$ – $$\frac{3}{7}$$ = $$\frac{5-3}{7}$$ = $$\frac{2}{7}$$
Write the difference over the common denominator as shown above.

b. $$\frac{7}{12}$$ – $$\frac{3}{12}$$ = _______________
$$\frac{4}{12}$$

Explanation:
When denominators are same, subtract the numerators.
$$\frac{7}{12}$$ – $$\frac{3}{12}$$ = $$\frac{7-3}{12}$$ = $$\frac{4}{12}$$
Write the difference over the common denominator as shown above.

c. $$\frac{8}{9}$$ – $$\frac{8}{9}$$ = _______________
$$\frac{0}{9}$$ = 0

Explanation:
When denominators are same, subtract the numerators.
$$\frac{8}{9}$$ – $$\frac{8}{9}$$ = $$\frac{8-8}{9}$$ = $$\frac{0}{9}$$ = 0
Write the difference over the common denominator as shown above.

d. $$\frac{12}{12}$$ – $$\frac{8}{12}$$ = _______________
$$\frac{4}{12}$$

Explanation:
When denominators are same, subtract the numerators.
$$\frac{12}{12}$$ – $$\frac{8}{12}$$ = $$\frac{12-8}{12}$$ = $$\frac{4}{12}$$
Write the difference over the common denominator as shown above.

Question 5.
a. $$\frac{9}{12}$$ – $$\frac{7}{12}$$ = _______________
$$\frac{2}{12}$$

Explanation:
When denominators are same, subtract the numerators.
$$\frac{9}{12}$$ – $$\frac{7}{12}$$ = $$\frac{9-7}{12}$$ = $$\frac{2}{12}$$
Write the difference over the common denominator as shown above.

b. $$\frac{4}{4}$$ – $$\frac{3}{4}$$ = _______________
$$\frac{1}{4}$$

Explanation:
When denominators are same, subtract the numerators.
$$\frac{4}{4}$$ – $$\frac{3}{4}$$ = $$\frac{4-3}{4}$$ = $$\frac{1}{4}$$
Write the difference over the common denominator as shown above.

c. $$\frac{9}{10}$$ – $$\frac{7}{10}$$ = _______________
$$\frac{2}{10}$$

Explanation:
When denominators are same, subtract the numerators.
$$\frac{9}{10}$$ – $$\frac{7}{10}$$ = $$\frac{9-7}{10}$$ = $$\frac{2}{10}$$
Write the difference over the common denominator as shown above.

d. $$\frac{3}{3}$$ – $$\frac{1}{3}$$ = _______________
$$\frac{2}{3}$$

Explanation:
When denominators are same, subtract the numerators.
$$\frac{3}{3}$$ – $$\frac{1}{3}$$ = $$\frac{3-1}{3}$$ = $$\frac{2}{3}$$
Write the difference over the common denominator as shown above.

Question 6.
a. $$\frac{5}{8}$$ – $$\frac{1}{8}$$ = _______________
$$\frac{4}{8}$$

Explanation:
When denominators are same, subtract the numerators.
$$\frac{5}{8}$$ – $$\frac{1}{8}$$ = $$\frac{5-1}{8}$$ = $$\frac{4}{8}$$
Write the difference over the common denominator as shown above.

b. $$\frac{6}{7}$$ – $$\frac{5}{7}$$ = _______________
$$\frac{1}{7}$$

Explanation:
When denominators are same, subtract the numerators.
$$\frac{6}{7}$$ – $$\frac{5}{7}$$ = $$\frac{6-5}{7}$$ = $$\frac{1}{7}$$
Write the difference over the common denominator as shown above.

c. $$\frac{11}{12}$$ – $$\frac{8}{12}$$ = _______________
$$\frac{3}{12}$$

Explanation:
When denominators are same, subtract the numerators.
$$\frac{11}{12}$$ – $$\frac{8}{12}$$ = $$\frac{11-8}{12}$$ = $$\frac{3}{12}$$
Write the difference over the common denominator as shown above.

d. $$\frac{7}{10}$$ – $$\frac{0}{10}$$ = _______________
$$\frac{7}{10}$$
$$\frac{7}{10}$$ – $$\frac{0}{10}$$ = $$\frac{7-0}{10}$$ = $$\frac{7}{10}$$