Practice the questions of **McGraw Hill Math Grade 8 Answer Key**** PDF** **Lesson 5.2 Dividing Whole Numbers by Fractions** to secure good marks & knowledge in the exams.

## McGraw-Hill Math Grade 8 Answer Key Lesson 5.2 Dividing Whole Numbers by Fractions

**Exercises Divide**

Question 1.

5 ÷ \(\frac{1}{10}\)

Answer:

50,

Explanation:

5 ÷ \(\frac{1}{10}\),

Multiply the whole number by the reciprocal of the fraction.

5 x \(\frac{10}{1}\) = 50.

Question 2.

9 ÷ \(\frac{3}{5}\)

Answer:

15,

Explanation:

9 ÷ \(\frac{3}{5}\),

Multiply the whole number by the reciprocal of the fraction.

9 x \(\frac{5}{3}\) = \(\frac{9 X 5}{3}\),

\(\frac{45}{3}\) = 15.

Question 3.

14 ÷ \(\frac{7}{8}\)

Answer:

16,

Explanation:

14 ÷ \(\frac{7}{8}\),

Multiply the whole number by the reciprocal of the fraction.

14 x \(\frac{8}{7}\) = \(\frac{14 X 8}{7}\),

\(\frac{112}{7}\) = 16.

Question 4.

12 ÷ \(\frac{4}{9}\)

Answer:

27,

Explanation:

12 ÷ \(\frac{4}{9}\),

Multiply the whole number by the reciprocal of the fraction.

12 x \(\frac{9}{4}\) = \(\frac{12 X 9}{4}\),

\(\frac{108}{4}\) = 27.

Question 5.

12 ÷ \(\frac{3}{4}\)

Answer:

16,

Explanation:

12 ÷ \(\frac{3}{4}\),

Multiply the whole number by the reciprocal of the fraction.

12 x \(\frac{4}{3}\) = \(\frac{12 X 4}{3}\),

\(\frac{48}{3}\) = 16.

Question 6.

42 ÷ \(\frac{7}{9}\)

Answer:

54,

Explanation:

42 ÷ \(\frac{7}{9}\),

Multiply the whole number by the reciprocal of the fraction.

42 x \(\frac{9}{7}\) = \(\frac{42 X 9}{7}\),

\(\frac{378}{7}\) = 54.

Question 7.

45 ÷ \(\frac{5}{8}\)

Answer:

72,

Explanation:

45 ÷ \(\frac{5}{8}\),

Multiply the whole number by the reciprocal of the fraction.

45 x \(\frac{8}{5}\) = \(\frac{45 X 8}{5}\),

\(\frac{360}{5}\) = 72.

Question 8.

24 ÷ \(\frac{2}{7}\)

Answer:

84,

Explanation:

24 ÷ \(\frac{2}{7}\),

Multiply the whole number by the reciprocal of the fraction.

24 x \(\frac{7}{2}\) = \(\frac{24 X 7}{2}\),

\(\frac{168}{2}\) = 84.

Question 9.

16 ÷ \(\frac{2}{5}\)

Answer:

40,

Explanation:

16 ÷ \(\frac{2}{5}\),

Multiply the whole number by the reciprocal of the fraction.

16 x \(\frac{5}{2}\) = \(\frac{16 X 5}{2}\),

\(\frac{80}{2}\) = 40.

Question 10.

5 ÷ \(\frac{3}{8}\)

Answer:

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

Explanation:

5 ÷ \(\frac{3}{8}\),

Multiply the whole number by the reciprocal of the fraction.

5 x \(\frac{8}{3}\) = \(\frac{5 X 8}{3}\),

\(\frac{40}{3}\) = 13\(\frac{1}{3}\).

Question 11.

16 ÷ \(\frac{4}{7}\)

Answer:

28,

Explanation:

16 ÷ \(\frac{4}{7}\),

Multiply the whole number by the reciprocal of the fraction.

16 x \(\frac{7}{4}\) = \(\frac{16 X 7}{4}\),

\(\frac{112}{4}\) = 28.

Question 12.

39 ÷ \(\frac{3}{11}\)

Answer:

143,

Explanation:

39 ÷ \(\frac{3}{11}\),

Multiply the whole number by the reciprocal of the fraction.

39 x \(\frac{11}{3}\) = \(\frac{39 X 11}{3}\),

\(\frac{429}{3}\) = 143.

Question 13.

15 ÷ \(\frac{3}{11}\)

Answer:

55,

Explanation:

15 ÷ \(\frac{3}{11}\),

Multiply the whole number by the reciprocal of the fraction.

15 x \(\frac{11}{3}\) = \(\frac{15 X 11}{3}\),

\(\frac{165}{3}\) = 55.

Question 14.

14 ÷ \(\frac{7}{4}\)

Answer:

8,

Explanation:

14 ÷ \(\frac{7}{4}\),

Multiply the whole number by the reciprocal of the fraction.

14 x \(\frac{4}{7}\) = \(\frac{14 X 4}{7}\),

\(\frac{56}{7}\) = 8.

Question 15.

27 ÷ \(\frac{3}{11}\)

Answer:

99,

Explanation:

27 ÷ \(\frac{3}{11}\),

Multiply the whole number by the reciprocal of the fraction.

27 x \(\frac{11}{3}\) = \(\frac{27 X 11}{3}\),

\(\frac{297}{3}\) = 99.

Question 16.

33 ÷ \(\frac{3}{8}\)

Answer:

88,

Explanation:

33 ÷ \(\frac{3}{8}\),

Multiply the whole number by the reciprocal of the fraction.

33 x \(\frac{8}{3}\) = \(\frac{33 X 8}{3}\),

\(\frac{264}{2}\) = 88.

Question 17.

Brandon worked with his community to provide aid packages for recent hurricane victims. Each package was to contain \(\frac{4}{15}\) pounds of sugar. How many packages could Brandon fill if he had 60 pounds of sugar to distribute?

Answer:

225 packages,

Explanation:

Brandon had 60 pounds of sugar to distribute.

Each package was to contain \(\frac{4}{15}\) pounds of sugar.

60 ÷ \(\frac{4}{15}\),

Multiply the whole number by the reciprocal of the fraction.

60 x \(\frac{15}{4}\) = \(\frac{60 X 15}{4}\),

\(\frac{900}{4}\) = 225 packages.

Question 18.

Dahlia is planning a bike trip with her friends. Her plan is to ride for \(\frac{3}{5}\) hour and then rest for \(\frac{1}{5}\) hour. If the entire trip will take 20 hours to complete, how many rest stops will the team make during the ride?

Answer:

25 stops,

Explanation:

Dahlia plan to ride for \(\frac{3}{5}\) hour,

then rest for \(\frac{1}{5}\) hour.

Number of hours of ride \(\frac{3}{5}\) + \(\frac{1}{5}\),

= \(\frac{4}{5}\)

If the entire trip will take 20 hours to complete,

20 ÷ \(\frac{4}{5}\),

Multiply the whole number by the reciprocal of the fraction.

20 x \(\frac{5}{4}\) = \(\frac{20 X 5}{4}\),

Number of rest stops will the team make during the ride,

\(\frac{100}{4}\) = 25 stops.