Dividing Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and is written as 'a/b', where 'a' is the numerator (part) and 'b' is the denominator (whole).

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

Front

How do you divide a fraction by a whole number?

Back

To divide a fraction by a whole number, multiply the denominator of the fraction by the whole number. For example, 1/2 ÷ 2 = 1/(2*2) = 1/4.

Front

What does it mean to divide by a fraction?

Back

Dividing by a fraction is the same as multiplying by its reciprocal. For example, 6 ÷ 1/2 = 6 * 2/1 = 12.

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction 'a/b' is 'b/a'. For example, the reciprocal of 3/4 is 4/3.

Front

How do you find the fraction of a whole?

Back

To find the fraction of a whole, multiply the whole number by the fraction. For example, to find 1/2 of 8, calculate 8 * 1/2 = 4.

Tags

CCSS.4.NF.B.4B

CCSS.4.NF.B.4C

Front

What is the result of 7 divided by 1/5?

Back

7 ÷ 1/5 = 7 * 5/1 = 35.

Tags

CCSS.5.NF.B.7B

CCSS.5.NF.B.7C

Front

How do you share a whole number equally among a group?

Back

To share a whole number equally among a group, divide the whole number by the number of people in the group. For example, 3 sheets of paper shared by 4 friends means 3 ÷ 4 = 3/4 sheet per friend.

Tags

CCSS.5.NF.B.3

Front

What is the result of 6 divided by 1/4?

Back

6 ÷ 1/4 = 6 * 4/1 = 24.

Tags

CCSS.5.NF.B.7B

CCSS.5.NF.B.7C

Front

What is the result of 5 divided by 1/2?

Back

5 ÷ 1/2 = 5 * 2/1 = 10.

Tags

CCSS.5.NF.B.7B

CCSS.5.NF.B.7C

Front

How do you convert a division of fractions into multiplication?

Back

To convert a division of fractions into multiplication, multiply by the reciprocal of the divisor. For example, a/b ÷ c/d = a/b * d/c.

Tags

CCSS.6.NS.A.1