All the solutions provided in **McGraw Hill Math Grade 5 Answer Key PDF Chapter 6 Lesson 8 Subtracting Mixed Numbers with Unlike Denominators **are as per the latest syllabus guidelines.

## McGraw-Hill Math Grade 5 Answer Key Chapter 6 Lesson 8 Subtracting Mixed Numbers with Unlike Denominators

**Solve**

**Find equivalent fractions and subtract. Simplify improper fractions.**

Question 1.

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

Answer:

1\(\frac{3}{12}\) – \(\frac{2}{12}\) = 1\(\frac{1}{12}\)

Question 2.

1\(\frac{2}{3}\) – \(\frac{1}{2}\) ______________

Answer:

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

Explanation:

The difference between 1\(\frac{2}{3}\) – \(\frac{1}{2}\) is \(\frac{5}{3}\) – \(\frac{1}{2}\)

= \(\frac{10-3}{6}\)

= \(\frac{7}{6}\).

Question 3.

1\(\frac{7}{8}\) – 1\(\frac{3}{6}\) ______________

Answer:

1\(\frac{7}{8}\) – 1\(\frac{3}{6}\) = \(\frac{3}{8}\).

Explanation:

The difference between 1\(\frac{7}{8}\) – 1\(\frac{3}{6}\) is \(\frac{15}{8}\) – \(\frac{9}{6}\)

= \(\frac{90-72}{48}\)

= \(\frac{18}{48}\)

= \(\frac{3}{8}\).

Question 4.

Answer:

Question 5.

2\(\frac{1}{9}\) – \(\frac{5}{6}\) _______________

Answer:

2\(\frac{1}{9}\) – \(\frac{5}{6}\) = \(\frac{23}{18}\).

Explanation:

The difference between 2\(\frac{1}{9}\) – \(\frac{5}{6}\) is \(\frac{19}{9}\) – \(\frac{5}{6}\)

= \(\frac{114-45}{54}\)

= \(\frac{69}{54}\)

= \(\frac{23}{18}\).

Question 6.

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

Answer:

3\(\frac{1}{2}\) – 2\(\frac{1}{5}\) = \(\frac{24}{5}\).

Explanation:

The difference between 3\(\frac{1}{2}\) – 2\(\frac{1}{5}\) is \(\frac{7}{2}\) – \(\frac{11}{5}\)

= \(\frac{70-22}{10}\)

= \(\frac{48}{10}\)

= \(\frac{24}{5}\).

Question 7.

Answer:

3\(\frac{1}{2}\) – 1\(\frac{3}{7}\) = \(\frac{29}{14}\).

Explanation:

The difference between 3\(\frac{1}{2}\) – 1\(\frac{3}{7}\) is \(\frac{7}{2}\) – \(\frac{10}{7}\)

= \(\frac{49-20}{14}\)

= \(\frac{29}{14}\).

Question 8.

Answer:

2\(\frac{1}{3}\) – 1\(\frac{2}{5}\) = \(\frac{14}{15}\).

Explanation:

The difference between 2\(\frac{1}{3}\) – 1\(\frac{2}{5}\) is \(\frac{7}{3}\) – \(\frac{7}{5}\)

= \(\frac{35-21}{15}\)

= \(\frac{14}{15}\).

Question 9.

Answer:

5\(\frac{6}{7}\) – 4\(\frac{5}{6}\) = \(\frac{43}{42}\).

Explanation:

The difference between 5\(\frac{6}{7}\) – 4\(\frac{5}{6}\) is \(\frac{41}{7}\) – \(\frac{29}{6}\)

= \(\frac{246-203}{42}\)

= \(\frac{43}{42}\).

Question 10.

Answer:

6\(\frac{7}{8}\) – 1\(\frac{2}{3}\) = \(\frac{121}{24}\).

Explanation:

The difference between 6\(\frac{7}{8}\) – 1\(\frac{2}{3}\) is \(\frac{55}{8}\) – \(\frac{5}{3}\)

= \(\frac{165-40}{24}\)

= \(\frac{121}{24}\).