Dividing Fractions Review

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

What is the first step in dividing fractions?

Back

The first step in dividing fractions is to multiply by the reciprocal of the divisor.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common factor (GCF).

Front

What does it mean to multiply fractions?

Back

Multiplying fractions involves multiplying the numerators together and the denominators together. For example, (2/3) * (3/4) = (2*3)/(3*4) = 6/12 = 1/2 after simplification.

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. For example, 2 1/3 = (2*3 + 1)/3 = 7/3.

Front

What is the last step in multiplying and dividing fractions?

Back

The last step is to simplify the resulting fraction if possible.

Front

How do you find the number of servings in a fraction?

Back

To find the number of servings, divide the total amount by the size of one serving. For example, to find how many 1/4 cup servings are in 1 cup, calculate 1 ÷ (1/4) = 4.

Front

What is the process for dividing mixed numbers?

Back

To divide mixed numbers, first convert them to improper fractions, then multiply by the reciprocal of the second fraction.

Front

What is a common mistake when dividing fractions?

Back

A common mistake is to forget to multiply by the reciprocal of the divisor.

Front

How do you express a fraction in simplest form?

Back

To express a fraction in simplest form, divide both the numerator and denominator by their GCF.