Dividing Fractions

Front

What is the process for dividing fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. For example, to divide \( \frac{a}{b} \div \frac{c}{d} \), calculate \( \frac{a}{b} \times \frac{d}{c} \).

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction \( \frac{a}{b} \) is \( \frac{b}{a} \).

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 the result over the original denominator. For example, \( 1 \frac{1}{4} = \frac{1 \times 4 + 1}{4} = \frac{5}{4} \).

Front

What is the result of dividing a whole number by a fraction?

Back

Dividing a whole number by a fraction is equivalent to multiplying the whole number by the reciprocal of the fraction. For example, \( 3 \div \frac{1}{6} = 3 \times 6 = 18 \).

Front

What is the result of \( \frac{5}{6} \div \frac{2}{3} \)?

Back

The result is \( 1 \frac{1}{4} \) or \( \frac{5}{6} \times \frac{3}{2} = \frac{15}{12} = 1 \frac{1}{4} \).

Front

How do you simplify the fraction \( \frac{27}{28} \)?

Back

The fraction \( \frac{27}{28} \) is already in its simplest form because 27 and 28 have no common factors other than 1.

Front

What is the result of \( \frac{7}{10} \div \frac{1}{5} \)?

Back

The result is \( 3 \frac{1}{2} \) or \( \frac{7}{10} \times 5 = \frac{35}{10} = 3 \frac{1}{2} \).

Front

What is the first step in dividing fractions?

Back

The first step is to find the reciprocal of the second fraction.

Front

What does it mean to divide by a fraction?

Back

Dividing by a fraction means to find out how many times the fraction fits into the whole number.

Front

What is the result of dividing 8 by \( \frac{1}{3} \)?

Back

The result is 24, because \( 8 \div \frac{1}{3} = 8 \times 3 = 24 \).