# McGraw Hill Math Grade 8 Lesson 4.2 Answer Key Multiplying Two Fractions: Reciprocals

Practice the questions of McGraw Hill Math Grade 8 Answer Key PDF Lesson 4.2 Multiplying Two Fractions: Reciprocals to secure good marks & knowledge in the exams.

## McGraw-Hill Math Grade 8 Answer Key Lesson 4.2 Multiplying Two Fractions: Reciprocals

Exercises Multiply

Question 1.
$$\frac{3}{2}$$ × $$\frac{4}{9}$$
$$\frac{2}{3}$$,

Explanation:
When we multiply $$\frac{3}{2}$$ X $$\frac{4}{9}$$, We get $$\frac{3 X 4}{2 X 9}$$ = $$\frac{12}{18}$$ both goes by 6 we get  $$\frac{6 X 2}{6 X 3}$$ = $$\frac{2}{3}$$.

Question 2.
$$\frac{5}{9}$$ × $$\frac{12}{30}$$
$$\frac{2}{9}$$,

Explanation:
When we multiply $$\frac{5}{9}$$ X $$\frac{12}{30}$$ we get $$\frac{5 X 12}{9 X 30}$$ = $$\frac{60}{270}$$ both goes by 30, So $$\frac{2 X 30}{9 X 30}$$ = $$\frac{2}{9}$$.

Question 3.
$$\frac{15}{21}$$ × $$\frac{6}{25}$$
$$\frac{6}{35}$$,

Explanation:
When we multiply $$\frac{15}{21}$$ X $$\frac{6}{25}$$ we get
$$\frac{15 X 6}{21 X 25}$$ = $$\frac{90}{525}$$ both goes by 15, So $$\frac{6 X 15}{35 X 15}$$ = $$\frac{6}{35}$$,

Question 4.
$$\frac{1}{2}$$ × $$\frac{1}{2}$$
$$\frac{1}{4}$$,

Explanation:
When we multiply $$\frac{1}{2}$$ X $$\frac{1}{2}$$ we get $$\frac{1 X 1}{2 X 2}$$ = $$\frac{1}{4}$$.

Question 5.
$$\frac{2}{3}$$ × $$\frac{3}{4}$$
$$\frac{1}{2}$$,

Explanation:
When we multiply $$\frac{2}{3}$$ X $$\frac{3}{4}$$ we get
$$\frac{2 X 3}{3 X 4}$$ = $$\frac{6}{12}$$ both goes by 6, So
$$\frac{1 X 6}{2 X 6}$$ = $$\frac{1}{2}$$.

Question 6.
$$\frac{5}{4}$$ × $$\frac{16}{35}$$
$$\frac{4}{7}$$,

Explanation:
When we multiply $$\frac{5}{4}$$ X $$\frac{16}{35}$$ we get
$$\frac{5 X 16}{4 X 35}$$ = $$\frac{80}{140}$$ both goes by 20, So
$$\frac{4 X 20}{7 X 20}$$ = $$\frac{4}{7}$$,

Question 7.
$$\frac{5}{18}$$ × $$\frac{9}{25}$$
$$\frac{1}{10}$$,

Explanation:
When we multiply $$\frac{5}{18}$$ X $$\frac{9}{25}$$ we get $$\frac{5 X 9}{18 X 25}$$ = $$\frac{45}{450}$$ both goes by 45, So
$$\frac{1 X 45}{10 X 45}$$ = $$\frac{1}{10}$$.

Question 8.
$$\frac{4}{14}$$ × $$\frac{28}{64}$$
$$\frac{1}{8}$$,

Explanation:
When we multiply $$\frac{4}{14}$$ X $$\frac{28}{64}$$ we get
$$\frac{4 X 28}{14 X 64}$$ = $$\frac{112}{896}$$ both goes by 112, So $$\frac{1}{8}$$.

Question 9.
$$\frac{13}{22}$$ × $$\frac{11}{13}$$
$$\frac{1}{2}$$,

Explanation:
When we multiply $$\frac{13}{22}$$ X $$\frac{11}{13}$$ we get
$$\frac{13 X 11}{22 X 13}$$ = $$\frac{143}{286}$$ both goes by 143,
So $$\frac{1 X 143}{2 X 286}$$.

Question 10.
$$\frac{12}{13}$$ × $$\frac{52}{72}$$
$$\frac{2}{3}$$,

Explanation:
When we multiply $$\frac{12}{13}$$ X $$\frac{52}{72}$$ we get
$$\frac{12 X 52}{13 X 72}$$ = $$\frac{624}{936}$$ both goes by 312,
So $$\frac{2 X 312}{3 X 312}$$ = $$\frac{2}{3}$$.

Question 11.
$$\frac{2}{15}$$ × $$\frac{2}{15}$$
$$\frac{4}{225}$$,

Explanation:
When we multiply $$\frac{2}{15}$$ X $$\frac{2}{15}$$ we get
$$\frac{2 X 2}{15 X 15}$$ = $$\frac{4}{225}$$.

Question 12.
$$\frac{21}{24}$$ × $$\frac{8}{35}$$
$$\frac{1}{5}$$,

Explanation:
When we multiply $$\frac{21}{24}$$ X $$\frac{8}{35}$$ we get
$$\frac{21 X 8}{24 X 35}$$ = $$\frac{168}{840}$$ both goes by 168, $$\frac{1}{5}$$.

Question 13.
$$\frac{48}{21}$$ × $$\frac{42}{64}$$
$$\frac{3}{2}$$,

Explanation:
When we multiply $$\frac{48}{21}$$ X $$\frac{42}{64}$$ we get
$$\frac{48 X 42}{21 X 64}$$ = $$\frac{2016}{1344}$$ both goes by 672, So $$\frac{3}{2}$$.

Question 14.
$$\frac{7}{9}$$ × $$\frac{9}{14}$$
$$\frac{1}{2}$$,

Explanation:
When we multiply $$\frac{7}{9}$$ X $$\frac{9}{14}$$ we get
$$\frac{7 X 9}{9 X 14}$$ = $$\frac{63}{126}$$ both goes by 63, So $$\frac{1 x 63}{2 X 63}$$ = $$\frac{1}{2}$$.

Question 15.
$$\frac{15}{18}$$ × $$\frac{9}{25}$$
$$\frac{3}{10}$$,

Explanation:
When we multiply $$\frac{15}{18}$$ X $$\frac{9}{25}$$ we get $$\frac{15 X 9}{18 X 25}$$ = $$\frac{135}{450}$$ both goes by 45, So $$\frac{3 X 45}{10 X 45}$$ = $$\frac{3}{10}$$.

Question 16.
$$\frac{10}{13}$$ × $$\frac{26}{45}$$
$$\frac{4}{9}$$,

Explanation:
When we multiply $$\frac{10}{13}$$ X $$\frac{26}{45}$$ we get
$$\frac{10 X 26}{13 X 45}$$ = $$\frac{260}{585}$$ both goes by 65,
So $$\frac{4 X 65}{9 X 65}$$ = $$\frac{4}{9}$$.

Question 17.
Daisy runs on an oval track that is $$\frac{1}{4}$$ of a mile long. If she runs $$\frac{5}{16}$$ of the way around the track, how far did she run?
$$\frac{5}{64}$$ mile long Daisy ran on an oval track,

Explanation:
When Daisy runs we multiply $$\frac{1}{4}$$ mile long track with  $$\frac{5}{16}$$ way Daisy ran around the track  we get $$\frac{1 X 5}{4 X 16}$$ = $$\frac{5}{64}$$ mile long Daisy ran.

Question 18.
Bart’s family’s motorboat uses $$\frac{22}{6}$$ gallons of gas every hour. If they run the boat for $$\frac{1}{3}$$ of an hour, how much gas will they be using?
$$\frac{11}{9}$$ gallons of gas will be used every hour,
When we multiply Bart’s family’s motorboat uses  $$\frac{22}{6}$$ gallons of gas is used every hour by Barts family’s boat  $$\frac{1}{3}$$ of an hour, we get $$\frac{22 X 1}{6 X 3}$$ = $$\frac{22}{18}$$ both goes by 2 we get $$\frac{11 X 2}{9 X 2}$$ =  $$\frac{11}{9}$$ gallons of gas would be used for every hour.