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McGraw-Hill Math Grade 7 Answer Key Lesson 7.1 Multiply Fractions and Whole Numbers
Exercises Multiply
Question 1.
3 × \(\frac{1}{4}\)
Answer:
\(\frac{3}{4}\)
Explanation:
3 × \(\frac{1}{4}\)
Multiply whole number by the numerator and then place over denominator.
= \(\frac{3}{1}\) × \(\frac{1}{4}\)
= \(\frac{3}{4}\)
Question 2.
15 × \(\frac{2}{7}\)
Answer:
4\(\frac{2}{7}\)
Explanation:
15 × \(\frac{2}{7}\)
Multiply whole number by the numerator and then place over denominator.
= \(\frac{15}{1}\) × \(\frac{2}{7}\)
= \(\frac{30}{7}\)
= 4\(\frac{2}{7}\)
Question 3.
12 × –\(\frac{3}{8}\)
Answer:
-4\(\frac{1}{2}\)
Explanation:
12 × –\(\frac{3}{8}\)
Multiply whole number by the numerator and then place over denominator.
= \(\frac{12}{1}\) × –\(\frac{3}{8}\)
= –\(\frac{12 X 3}{8}\)
= \(\frac{36}{8}\)
= -4\(\frac{1}{2}\)
Question 4.
22 × \(\frac{3}{11}\)
Answer:
6
Explanation:
22 × \(\frac{3}{11}\)
Multiply whole number by the numerator and then place over denominator.
= \(\frac{22}{1}\) × –\(\frac{3}{11}\)
= \(\frac{22 X 3}{11}\)
= \(\frac{66}{11}\)
= 6
Question 5.
15 × –\(\frac{3}{20}\)
Answer:
-2\(\frac{1}{4}\)
Explanation:
15 × –\(\frac{3}{20}\)
Multiply whole number by the numerator and then place over denominator.
= \(\frac{15}{1}\) × –\(\frac{3}{20}\)
=-\(\frac{15 X 3}{20}\)
= –\(\frac{45}{20}\)
= –\(\frac{9}{4}\)
= -2\(\frac{1}{4}\)
Question 6.
31 × \(\frac{2}{17}\)
Answer:
3\(\frac{11}{17}\)
Explanation:
31 × \(\frac{2}{17}\)
Multiply whole number by the numerator and then place over denominator.
= \(\frac{31}{1}\) × \(\frac{2}{17}\)
= \(\frac{31 X 2}{17}\)
= \(\frac{62}{17}\)
= 3\(\frac{11}{17}\)
Question 7.
6 × \(\frac{7}{24}\)
Answer:
1\(\frac{3}{4}\)
Explanation:
6 × \(\frac{7}{24}\)
Multiply whole number by the numerator and then place over denominator.
= \(\frac{6}{1}\) × \(\frac{7}{24}\)
= \(\frac{6 X 7}{24}\)
= \(\frac{42}{24}\)
= \(\frac{7}{4}\)
= 1\(\frac{3}{4}\)
Question 8.
14 × \(\frac{10}{11}\)
Answer:
12\(\frac{8}{11}\)
Explanation:
14 × \(\frac{10}{11}\)
Multiply whole number by the numerator and then place over denominator.
= \(\frac{14}{1}\) × \(\frac{10}{11}\)
= \(\frac{14 X 10}{11}\)
= \(\frac{140}{11}\)
= 12\(\frac{8}{11}\)
Question 9.
16 × \(\frac{5}{36}\)
Answer:
2\(\frac{2}{9}\)
Explanation:
\(\frac{16}{1}\) × \(\frac{5}{36}\)
Multiply whole number by the numerator and then place over denominator.
= \(\frac{16 X 5}{36}\)
= \(\frac{80}{36}\)
= 2\(\frac{2}{9}\)
Question 10.
7 × \(\frac{2}{3}\)
Answer:
4\(\frac{2}{3}\)
Explanation:
7 × \(\frac{2}{3}\)
Multiply whole number by the numerator and then place over denominator.
= \(\frac{7}{1}\) × \(\frac{2}{3}\)
= \(\frac{7 X 2}{3}\)
= \(\frac{14}{3}\)
= 4\(\frac{2}{3}\)
Question 11.
16 × –\(\frac{3}{5}\)
Answer:
-9\(\frac{3}{5}\)
Explanation:
16 × \(\frac{3}{5}\)
Multiply whole number by the numerator and then place over denominator.
= \(\frac{16}{1}\) × \(\frac{3}{5}\)
= \(\frac{16 X 3}{5}\)
= \(\frac{93}{5}\)
= -9\(\frac{3}{5}\)
Question 12.
11 × \(\frac{11}{12}\)
Answer:
10\(\frac{1}{2}\)
Explanation:
10 × \(\frac{1}{2}\)
Multiply whole number by the numerator and then place over denominator.
= \(\frac{10}{1}\) × \(\frac{1}{2}\)
= \(\frac{10}{2}\)
= 10\(\frac{1}{2}\)
Question 13.
42 × \(\frac{5}{7}\)
Answer:
30
Explanation:
42 × \(\frac{5}{7}\)
Multiply whole number by the numerator and then place over denominator.
= \(\frac{42}{1}\) × \(\frac{5}{7}\)
= \(\frac{42 X 5}{7}\)
= \(\frac{210}{7}\)
= 30
Question 14.
20 × \(\frac{3}{40}\)
Answer:
1\(\frac{1}{2}\)
Explanation:
20 × \(\frac{3}{40}\)
Multiply whole number by the numerator and then place over denominator.
= \(\frac{20}{1}\) × \(\frac{3}{40}\)
= \(\frac{20 X 3}{40}\)
= \(\frac{60}{40}\)
= \(\frac{3}{2}\)
= 1\(\frac{1}{2}\)
Question 15.
32 × \(\frac{5}{8}\)
Answer:
20
Explanation:
32 × \(\frac{5}{8}\)
Multiply whole number by the numerator and then place over denominator.
= \(\frac{32}{1}\) × \(\frac{5}{8}\)
= \(\frac{32 X 5}{8}\)
= \(\frac{160}{8}\)
= 20
Question 16.
15 × –\(\frac{1}{15}\)
Answer:
-1
Explanation:
15 × –\(\frac{1}{15}\)
Multiply whole number by the numerator and then place over denominator.
= \(\frac{15}{1}\) × –\(\frac{1}{15}\)
= \(\frac{-15}{15}\)
= -1
Question 17.
16 × –\(\frac{3}{16}\)
Answer:
-3
Explanation:
16 × –\(\frac{3}{16}\)
Multiply whole number by the numerator and then place over denominator.
= \(\frac{16}{1}\) × –\(\frac{3}{16}\)
= \(\frac{16 X -3}{16}\)
= \(\frac{-48}{16}\)
= -3
Question 18.
3 × \(\frac{1}{3}\)
Answer:
1
Explanation:
3 × \(\frac{1}{3}\)
Multiply whole number by the numerator and then place over denominator.
= \(\frac{3}{1}\) ×\(\frac{1}{3}\)
= \(\frac{3}{3}\)
= 1
Question 19.
45 × \(\frac{13}{15}\)
Answer:
39
Explanation:
45 × \(\frac{13}{15}\)
Multiply whole number by the numerator and then place over denominator.
= \(\frac{45}{1}\) ×\(\frac{13}{15}\)
= \(\frac{45 X 13}{15}\)
= \(\frac{585}{15}\)
= 39
Question 20.
7 × \(\frac{4}{7}\)
Answer:
4
Explanation:
7 × \(\frac{4}{7}\)
Multiply whole number by the numerator and then place over denominator.
= \(\frac{7}{1}\) × \(\frac{4}{7}\)
= \(\frac{7 X 4}{7}\)
= \(\frac{28}{7}\)
= 4