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.