Spectrum Math Grade 4 Chapter 6 Lesson 12 Answer Key Subtracting Mixed Numerals with Like Denominators

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

3$$\frac{1}{9}$$
$$\frac{8}{9}$$ – $$\frac{7}{9}$$ = $$\frac{1}{9}$$
So, 3$$\frac{1}{9}$$