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 \( \frac{a}{b} \div \frac{c}{d} \), you calculate \( \frac{a}{b} \times \frac{d}{c} \).

Tags

CCSS.6.NS.A.1

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 simplify a fraction?

Back

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

Front

What is the GCD of 12 and 8?

Back

The GCD of 12 and 8 is 4.

Front

What is the result of \( \frac{4}{5} \div 2 \)?

Back

The result is \( \frac{2}{5} \).

Front

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

Back

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient is the whole number, and the remainder is the new numerator over the original denominator.

Front

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

Back

The result is \( \frac{15}{12} \), which simplifies to \( 1 \frac{1}{4} \).

Tags

CCSS.6.NS.A.1

Front

If Patrick cuts \( \frac{1}{4} \) inch pieces from an 8 inch piece, how many pieces can he cut?

Back

He can cut 32 pieces.

Tags

CCSS.5.NF.B.7B

CCSS.5.NF.B.7C

Front

What is the quotient of \( \frac{3}{5} \div 1 \)?

Back

The quotient is \( \frac{3}{5} \).

Front

What is the result of \( \frac{6}{7} \div 3 \)?

Back

The result is \( \frac{2}{7} \).