Multiplying Reciprocals Quiz

Authored by Andrew Jensen

Mathematics

5th - 8th Grade

Used 12+ times

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13 questions

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MULTIPLE SELECT QUESTION

30 sec • 1 pt

$\frac{1}{4}\cdot\frac{4}{1}=?$
😉Hint: There are two correct answers. You have to choose them both to get this question correct.

$\frac{4}{4}$

$\frac{1}{16}$

Answer explanation

The answer could be $\frac{4}{4}$ or 1 because $4\div4=1$ .

MULTIPLE SELECT QUESTION

30 sec • 1 pt

$\frac{3}{7}\cdot\frac{7}{3}=?$
😉Hint: There are two correct answers. You have to choose them both to get this question correct.

$\frac{49}{9}$

$\frac{21}{21}$

$1$

$\frac{9}{49}$

Answer explanation

The answer could be $\frac{21}{21}$ or $1$ because $21\div21=1$ .

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\frac{2}{5}\cdot\frac{5}{2}=?$

$\frac{25}{4}$

$\frac{4}{25}$

$\frac{4}{10}$

$1$

Answer explanation

$\frac{2}{5}\cdot\frac{5}{2}=\frac{10}{10}$ which is the same as $1$ whole.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

$\frac{1}{3}\cdot?=1$
😉Hint: There are two correct answers. You have to choose them both to get this question correct.

$\frac{3}{1}$

$\frac{1}{3}$

$3$

$\frac{1}{9}$

Answer explanation

$\frac{1}{3}\cdot\frac{3}{1}=1$ because $\frac{1}{3}\cdot\frac{3}{1}=\frac{3}{3}=1$ .

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\frac{3}{8}\cdot?=1$

$8$

$3$

$\frac{8}{3}$

$\frac{3}{8}$

OPEN ENDED QUESTION

1 min • Ungraded

In the example, $\frac{2}{3}$ and $\frac{3}{2}$ are called reciprocals. What is the product anytime we multiply two fractions that are reciprocals? Why do you think that is?
Example: $\frac{2}{3}\cdot\frac{3}{2}=?$

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MULTIPLE SELECT QUESTION

30 sec • 1 pt

$\frac{2}{1}\cdot\frac{3}{2}=?$
😉Hint: There are two correct answers. You have to choose them both to get this question correct.

$\frac{6}{2}$

$3$

$\frac{2}{6}$

$\frac{4}{3}$

Answer explanation

$\frac{2}{1}\cdot\frac{3}{2}=\frac{6}{2}$ which is the same as $3$ because $6\div2=3$ .

MULTIPLE SELECT QUESTION

30 sec • 1 pt

$\frac{3}{1}\cdot\frac{8}{3}=?$
😉Hint: There are two correct answers. You have to choose them both to get this question correct.

$\frac{24}{3}$

$8$

$\frac{8}{9}$

$\frac{1}{8}$

Answer explanation

$\frac{3}{1}\cdot\frac{8}{3}=\frac{24}{3}$ which is the same as $8$ because $24\div3=8$ .

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\frac{4}{1}\cdot\frac{3}{4}=?$

$\frac{4}{3}$

$12$

$3$

$\frac{3}{8}$

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\frac{3}{1}\cdot?=2$

$\frac{1}{2}$

$\frac{2}{3}$

$2$

$\frac{1}{3}$

Answer explanation

$\frac{3}{1}\cdot\frac{2}{3}=2$ because $\frac{3}{1}\cdot\frac{2}{3}=\frac{6}{3}$ and $6\div3=2$ .

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Multiplying Reciprocals

14⋅41=?\frac{1}{4}\cdot\frac{4}{1}=?41​⋅14​=? 😉Hint: There are two correct answers. You have to choose them both to get this question correct.

The answer could be 44\frac{4}{4}44​ or 1 because 4÷4=14\div4=14÷4=1 .

37⋅73=?\frac{3}{7}\cdot\frac{7}{3}=?73​⋅37​=? 😉Hint: There are two correct answers. You have to choose them both to get this question correct.

The answer could be 2121\frac{21}{21}2121​ or 111 because 21÷21=121\div21=121÷21=1 .

25⋅52=?\frac{2}{5}\cdot\frac{5}{2}=?52​⋅25​=?

25⋅52=1010\frac{2}{5}\cdot\frac{5}{2}=\frac{10}{10}52​⋅25​=1010​ which is the same as 111 whole.

13⋅?=1\frac{1}{3}\cdot?=131​⋅?=1 😉Hint: There are two correct answers. You have to choose them both to get this question correct.

13⋅31=1\frac{1}{3}\cdot\frac{3}{1}=131​⋅13​=1 because 13⋅31=33=1\frac{1}{3}\cdot\frac{3}{1}=\frac{3}{3}=131​⋅13​=33​=1 .

38⋅?=1\frac{3}{8}\cdot?=183​⋅?=1

In the example, 23\frac{2}{3}32​ and 32\frac{3}{2}23​ are called reciprocals. What is the product anytime we multiply two fractions that are reciprocals? Why do you think that is?Example: 23⋅32=?\frac{2}{3}\cdot\frac{3}{2}=?32​⋅23​=?

21⋅32=?\frac{2}{1}\cdot\frac{3}{2}=?12​⋅23​=? 😉Hint: There are two correct answers. You have to choose them both to get this question correct.

21⋅32=62\frac{2}{1}\cdot\frac{3}{2}=\frac{6}{2}12​⋅23​=26​ which is the same as 333 because 6÷2=36\div2=36÷2=3 .

31⋅83=?\frac{3}{1}\cdot\frac{8}{3}=?13​⋅38​=? 😉Hint: There are two correct answers. You have to choose them both to get this question correct.

31⋅83=243\frac{3}{1}\cdot\frac{8}{3}=\frac{24}{3}13​⋅38​=324​ which is the same as 888 because 24÷3=824\div3=824÷3=8 .

41⋅34=?\frac{4}{1}\cdot\frac{3}{4}=?14​⋅43​=?

31⋅?=2\frac{3}{1}\cdot?=213​⋅?=2

31⋅23=2\frac{3}{1}\cdot\frac{2}{3}=213​⋅32​=2 because 31⋅23=63\frac{3}{1}\cdot\frac{2}{3}=\frac{6}{3}13​⋅32​=36​ and 6÷3=26\div3=26÷3=2 .

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$\frac{1}{4}\cdot\frac{4}{1}=?$
😉Hint: There are two correct answers. You have to choose them both to get this question correct.

The answer could be $\frac{4}{4}$ or 1 because $4\div4=1$ .

$\frac{3}{7}\cdot\frac{7}{3}=?$
😉Hint: There are two correct answers. You have to choose them both to get this question correct.

The answer could be $\frac{21}{21}$ or $1$ because $21\div21=1$ .

$\frac{2}{5}\cdot\frac{5}{2}=?$

$\frac{2}{5}\cdot\frac{5}{2}=\frac{10}{10}$ which is the same as $1$ whole.

$\frac{1}{3}\cdot?=1$
😉Hint: There are two correct answers. You have to choose them both to get this question correct.

$\frac{1}{3}\cdot\frac{3}{1}=1$ because $\frac{1}{3}\cdot\frac{3}{1}=\frac{3}{3}=1$ .

$\frac{3}{8}\cdot?=1$

In the example, $\frac{2}{3}$ and $\frac{3}{2}$ are called reciprocals. What is the product anytime we multiply two fractions that are reciprocals? Why do you think that is?
Example: $\frac{2}{3}\cdot\frac{3}{2}=?$

$\frac{2}{1}\cdot\frac{3}{2}=?$
😉Hint: There are two correct answers. You have to choose them both to get this question correct.

$\frac{2}{1}\cdot\frac{3}{2}=\frac{6}{2}$ which is the same as $3$ because $6\div2=3$ .

$\frac{3}{1}\cdot\frac{8}{3}=?$
😉Hint: There are two correct answers. You have to choose them both to get this question correct.

$\frac{3}{1}\cdot\frac{8}{3}=\frac{24}{3}$ which is the same as $8$ because $24\div3=8$ .

$\frac{4}{1}\cdot\frac{3}{4}=?$

$\frac{3}{1}\cdot?=2$

$\frac{3}{1}\cdot\frac{2}{3}=2$ because $\frac{3}{1}\cdot\frac{2}{3}=\frac{6}{3}$ and $6\div3=2$ .