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

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.
$$\frac{64}{3}$$
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.
$$\frac{101}{4}$$
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.
$$\frac{15}{2}$$
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.
$$\frac{52}{3}$$
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.
$$\frac{66}{12}$$
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.
$$\frac{137}{11}$$
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.
$$\frac{176}{16}$$
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.
$$\frac{61}{8}$$
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.
$$\frac{121}{21}$$
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.
$$\frac{53}{2}$$
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.
$$\frac{49}{11}$$
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.
$$\frac{312}{19}$$
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.
$$\frac{98}{8}$$
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.
$$\frac{87}{7}$$
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.
$$\frac{159}{12}$$
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.
$$\frac{360}{16}$$
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.
$$\frac{74}{3}$$
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.
$$\frac{71}{4}$$
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?
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?
35$$\frac{2}{4}$$ yards of cloth,
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$$\frac{2}{4}$$.