Dividing Fractions

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 4/5 is 5/4.

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 split a fraction equally?

Back

Splitting a fraction equally means dividing the fraction into equal parts. For example, 1/3 shared among 4 children means each child gets 1/3 ÷ 4 = 1/12.

Front

How do you find the weight per trip when dividing a fraction?

Back

To find the weight per trip, divide the total weight by the number of trips. For example, 1/6 ton divided by 4 trips equals 1/6 ÷ 4 = 1/24 ton per trip.

Front

What is the result of dividing a fraction by another fraction?

Back

To divide a fraction by another fraction, multiply the first fraction by the reciprocal of the second fraction. For example, 1/2 ÷ 1/4 = 1/2 * 4/1 = 2.

Front

What is a fraction?

Back

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number). For example, 3/4 means 3 parts out of 4.

Front

How do you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator by the denominator. For example, 1/2 = 1 ÷ 2 = 0.5.

Front

What is the importance of finding a common denominator?

Back

Finding a common denominator is important when adding or subtracting fractions to ensure the fractions are comparable. For example, to add 1/4 and 1/6, find the common denominator of 12.

Front

What does it mean to simplify a fraction?

Back

Simplifying a fraction means reducing it to its lowest terms by dividing the numerator and denominator by their greatest common factor. For example, 4/8 simplifies to 1/2.

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, 1/2 * 3/4 = 3/8.