Dividing Fractions

Front

What is dividing fractions?

Back

Dividing fractions involves multiplying the first fraction by the reciprocal (or inverse) of the second fraction.

Tags

CCSS.6.NS.A.1

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by flipping the numerator and denominator. For example, the reciprocal of 3/4 is 4/3.

Front

How do you divide 1/4 by 2/5?

Back

To divide 1/4 by 2/5, multiply 1/4 by the reciprocal of 2/5, which is 5/2. So, 1/4 ÷ 2/5 = 1/4 × 5/2 = 5/8.

Tags

CCSS.6.NS.A.1

Front

What is the quotient of 6/10 and 3/5?

Back

The quotient of 6/10 and 3/5 is 1, since 6/10 ÷ 3/5 = 6/10 × 5/3 = 1.

Tags

CCSS.6.NS.A.1

Front

How many runners are needed to run a 1/4 mile relay if each runner runs 1/16 mile?

Back

4 runners are needed, since 1/4 ÷ 1/16 = 4.

Tags

CCSS.5.NF.B.7C

CCSS.5.NF.B.7A

Front

What is the result of 4/9 ÷ 1/2?

Back

The result is 8/9, since 4/9 ÷ 1/2 = 4/9 × 2/1 = 8/9.

Tags

CCSS.6.NS.A.1

Front

What does it mean to simplify a fraction?

Back

Simplifying a fraction means reducing it to its lowest terms, where the numerator and denominator have no common factors other than 1.

Front

How do you convert a mixed number to an improper fraction?

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that over the original denominator.

Front

What is the lowest terms of a fraction?

Back

A fraction is in lowest terms when the numerator and denominator are coprime, meaning they have no common factors other than 1.

Front

What is the process of multiplying fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, (a/b) × (c/d) = (a*c)/(b*d).

Tags

CCSS.5.NF.B.6