Multiplying and 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 and 'b' is the denominator.

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

Front

How do you multiply fractions?

Back

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

Tags

CCSS.5.NF.B.6

Front

What is the result of 3/5 x 2/9?

Back

6/45, which can be simplified to 2/15.

Tags

CCSS.5.NF.B.6

Front

How do you divide fractions?

Back

To divide fractions, multiply by the reciprocal of the second fraction. For example, (a/b) ÷ (c/d) = (a/b) x (d/c).

Tags

CCSS.6.NS.A.1

Front

What is the result of 5 ÷ 1/5?

Back

25, because dividing by a fraction is the same as multiplying by its reciprocal.

Tags

CCSS.5.NF.B.7B

CCSS.5.NF.B.7C

Front

What is the simplified form of 3/8 x 2/5?

Back

3/20.

Tags

CCSS.5.NF.B.6

Front

What does it mean to simplify a fraction?

Back

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

Front

What is the least common multiple (LCM)?

Back

The least common multiple is the smallest multiple that two or more numbers share.

Front

What is the greatest common divisor (GCD)?

Back

The greatest common divisor is the largest number that divides two or more numbers without leaving a remainder.

Front

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

Back

Multiply the whole number by the denominator, add the numerator, and place that over the original denominator.