Practice the questions of **McGraw Hill Math Grade 8 Answer Key**** PDF** **Lesson 3.1 Changing Improper Fractions to Mixed Numbers** to secure good marks & knowledge in the exams.

## McGraw-Hill Math Grade 8 Answer Key Lesson 3.1 Changing Improper Fractions to Mixed Numbers

**Exercises Convert to a Mixed Number**

Question 1.

\(\frac{64}{3}\)

Answer:

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

Explanation:

Given to convert \(\frac{64}{3}\) to a mixed number,

As numerator is greater than denominator so we write in

mixed fraction as \(\frac{21 X 3 + 1}{3}\),

therefore we get 21\(\frac{1}{3}\).

Question 2.

\(\frac{101}{4}\)

Answer:

25\(\frac{1}{4}\),

Explanation:

Given to convert \(\frac{101}{4}\) to a mixed number,

As numerator is greater than denominator so we write in

mixed fraction as \(\frac{25 X 4 + 1}{4}\),

therefore we get 25\(\frac{1}{4}\).

Question 3.

\(\frac{15}{2}\)

Answer:

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

Explanation:

Given to convert \(\frac{15}{2}\) to a mixed number,

As numerator is greater than denominator so we write in

mixed fraction as \(\frac{7 X 2 + 1}{2}\),

therefore we get 7\(\frac{1}{2}\).

Question 4.

\(\frac{52}{3}\)

Answer:

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

Explanation:

Given to convert \(\frac{52}{3}\) to a mixed number,

As numerator is greater than denominator so we write in

mixed fraction as \(\frac{17 X 3 + 1}{3}\),

therefore we get 17\(\frac{1}{3}\).

Question 5.

\(\frac{66}{12}\)

Answer:

5\(\frac{6}{12}\),

Explanation:

Given to convert 5\(\frac{6}{12}\) to a mixed number,

As numerator is greater than denominator so we write in

mixed fraction as \(\frac{5 X 12 + 6}{12}\),

therefore we get 5\(\frac{6}{12}\).

Question 6.

\(\frac{137}{11}\)

Answer:

12\(\frac{5}{11}\),

Explanation:

Given to convert \(\frac{137}{11}\) to a mixed number,

As numerator is greater than denominator so we write in

mixed fraction as \(\frac{12 X 11 + 5}{11}\),

therefore we get 12\(\frac{5}{11}\).

Question 7.

\(\frac{176}{16}\)

Answer:

11,

Explanation:

Given to convert \(\frac{176}{16}\) to a mixed number,

As numerator is greater than denominator so we write in

mixed fraction as \(\frac{11 X 16}{16}\) = 11.

Question 8.

\(\frac{61}{8}\)

Answer:

7\(\frac{5}{8}\),

Explanation:

Given to convert \(\frac{61}{8}\) to a mixed number,

As numerator is greater than denominator so we write in

mixed fraction as \(\frac{7 X 8 + 5}{8}\),

therefore we get 7\(\frac{5}{8}\).

Question 9.

\(\frac{121}{21}\)

Answer:

5\(\frac{16}{21}\),

Explanation:

Given to convert \(\frac{121}{21}\) to a mixed number,

As numerator is greater than denominator so we write in

mixed fraction as \(\frac{5 X 21 + 16}{21}\),

therefore we get 5\(\frac{16}{21}\).

Question 10.

\(\frac{53}{2}\)

Answer:

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

Explanation:

Given to convert \(\frac{53}{2}\) to a mixed number,

As numerator is greater than denominator so we write in

mixed fraction as \(\frac{26 X 2 + 1}{2}\),

therefore we get 26\(\frac{1}{2}\).

Question 11.

\(\frac{49}{11}\)

Answer:

4\(\frac{5}{11}\),

Explanation:

Given to convert \(\frac{49}{11}\) to a mixed number,

As numerator is greater than denominator so we write in

mixed fraction as \(\frac{4 X 11 + 5}{11}\),

therefore we get 4\(\frac{5}{11}\).

Question 12.

\(\frac{312}{19}\)

Answer:

16\(\frac{8}{19}\),

Explanation:

Given to convert \(\frac{312}{19}\) to a mixed number,

As numerator is greater than denominator so we write in

mixed fraction as \(\frac{16 X 19 + 8}{19}\),

therefore we get 16\(\frac{8}{19}\).

Question 13.

\(\frac{98}{8}\)

Answer:

12\(\frac{2}{8}\),

Explanation:

Given to convert \(\frac{98}{8}\) to a mixed number,

As numerator is greater than denominator so we write in

mixed fraction as \(\frac{12 X 8 + 2}{8}\),

therefore we get 12\(\frac{2}{8}\).

Question 14.

\(\frac{87}{7}\)

Answer:

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

Explanation:

Given to convert \(\frac{87}{7}\) to a mixed number,

As numerator is greater than denominator so we write in

mixed fraction as \(\frac{12 X 7 + 3}{7}\),

therefore we get 12\(\frac{3}{7}\).

Question 15.

\(\frac{159}{12}\)

Answer:

13\(\frac{3}{12}\),

Explanation:

Given to convert \(\frac{159}{12}\) to a mixed number,

As numerator is greater than denominator so we write in

mixed fraction as \(\frac{13 X 12 + 3}{12}\),

therefore we get 13\(\frac{3}{12}\).

Question 16.

\(\frac{360}{16}\)

Answer:

22\(\frac{8}{16}\),

Explanation:

Given to convert \(\frac{360}{16}\) to a mixed number,

As numerator is greater than denominator so we write in

mixed fraction as \(\frac{22 X 16 + 8}{16}\),

therefore we get 22\(\frac{8}{16}\).

Question 17.

\(\frac{74}{3}\)

Answer:

24\(\frac{2}{3}\),

Explanation:

Given to convert \(\frac{74}{3}\) to a mixed number,

As numerator is greater than denominator so we write in

mixed fraction as \(\frac{24 X 3 + 2}{3}\),

therefore we get 24\(\frac{2}{3}\).

Question 18.

\(\frac{71}{4}\)

Answer:

17\(\frac{3}{4}\),

Explanation:

Given to convert \(\frac{71}{4}\) to a mixed number,

As numerator is greater than denominator so we write in

mixed fraction as \(\frac{17 X 4 + 3}{4}\),

therefore we get 17\(\frac{3}{4}\).

Question 19.

Gerrie collects honey from a few beehives. She scoops out the honey with a small jar that holds \(\frac{1}{3}\) of a cup.

Over the last two weeks Gerrie has filled this jar 158 times. How many cups of honey has she collected?

Answer:

52\(\frac{2}{3}\) cups of honey,

Explanation:

Given Gerrie collects honey from a few beehives.

She scoops out the honey with a small jar that holds \(\frac{1}{3}\) of a cup. Over the last two weeks Gerrie has filled this jar 158 times.

So many cups of honey has she collected are

158 X \(\frac{1}{3}\) = \(\frac{158}{3}\)

numerator is greater than denominator so we write in

mixed fraction as \(\frac{52 X 3 + 2}{3}\),

therefore we get 52\(\frac{2}{3}\).

Question 20.

To finish sewing her tapestry, Petra needs 142 strips of cloth that are each one quarter of a yard. How many yards of cloth is that?

Answer:

35\(\frac{2}{4}\) yards of cloth,

Explanation:

Given to finish sewing her tapestry, Petra needs 142 strips of

cloth that are each one quarter of a yard.

So many yards of cloth is that 142 X \(\frac{1}{4}\) = \(\frac{142}{4}\) numerator is greater than denominator,

so we write in mixed fraction as \(\frac{35 X 4 + 2}{4}\),

therefore we get 35\(\frac{2}{4}\).