Math Core

This test covers what fraction division means, dividing fractions and mixed numbers using reciprocals, and solving word problems with fraction division.

Question 1

How many sixths are in 3? Find $3 \div \dfrac{1}{6}$ .

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 2

What question does $2 \div \dfrac{1}{4}$ ask?

Question 3

Find $\dfrac{4}{5} \div \dfrac{1}{5}$ .

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 4

Two friends share $\dfrac{1}{3}$ of a pizza equally. What fraction of the whole pizza does each friend get?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 5

What is the reciprocal of $2\dfrac{3}{5}$ ?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 6

Find $\dfrac{5}{8} \div \dfrac{1}{4}$ .

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 7

Find $8 \div \dfrac{4}{5}$ .

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 8

Find $3\dfrac{3}{4} \div 1\dfrac{1}{2}$ .

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 9

Sam worked out $\dfrac{2}{3} \div \dfrac{4}{5}$ like this: $\dfrac{3}{2} \times \dfrac{4}{5} = \dfrac{12}{10}$ . What is the correct answer?

Question 10

Which quotient is greater than $\dfrac{3}{4}$ ?

Question 11

A pitcher holds $4\dfrac{1}{2}$ cups of juice. Each glass holds $\dfrac{3}{4}$ cup. How many glasses can be filled?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 12

A rectangular rug has an area of $\dfrac{7}{8}$ square yard. It is $\dfrac{1}{2}$ yard wide. How long is it, in yards?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 13

A fish tank has 9 gallons of water in it, and it is $\dfrac{3}{5}$ full. How many gallons does the tank hold when full?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 14

A wooden strip is 7 feet long. How many full pieces that are each $\dfrac{2}{3}$ foot long can be cut from it?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.