Multiply and divide fractions

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).

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, \( \frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d} \).

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 \( \frac{a}{b} \) is \( \frac{b}{a} \).

Front

How do you divide fractions?

Back

To divide fractions, multiply by the reciprocal of the divisor. For example, \( \frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} \).

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator, such as \( \frac{5}{4} \).

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 1 \( \frac{1}{4} \).

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 and add the numerator. For example, 1 \( \frac{1}{4} \) becomes \( \frac{5}{4} \).

Front

What is the first step in multiplying a mixed number by a fraction?

Back

Convert the mixed number to an improper fraction before multiplying.

Front

Calculate: 1 ¼ × 2 ¾

Back

3 \( \frac{7}{16} \) (First convert to improper fractions: \( \frac{5}{4} \times \frac{11}{4} = \frac{55}{16} = 3 \frac{7}{16} \)).

Front

Calculate: \( \frac{3}{7} \times \frac{5}{8} \)

Back

\( \frac{15}{56} \) (Multiply the numerators and denominators: \( 3 \times 5 = 15 \) and \( 7 \times 8 = 56 \)).