Multiplying Whole Numbers and Fractions

Front

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

Back

When you multiply a whole number by a fraction, you multiply the whole number by the numerator of the fraction and then divide by the denominator. For example, 2 x \frac{2}{4} = \frac{2 \times 2}{4} = \frac{4}{4} = 1.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction. For example, 4 \frac{1}{2} is a mixed number.

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 numerator of the fraction.

Front

What is the product of 3 and \frac{1}{5}?

Back

3 x \frac{1}{5} = \frac{3 \times 1}{5} = \frac{3}{5}.

Front

What is the whole number in the equation 5/10 = ?

Back

The whole number is 5, as 5/10 simplifies to 1/2.

Front

What is the result of multiplying \frac{1}{5} by 7?

Back

\frac{1}{5} x 7 = \frac{1 \times 7}{5} = \frac{7}{5}.

Front

What does it mean to simplify a fraction?

Back

To simplify a fraction means to reduce it to its lowest terms, where the numerator and denominator have no common factors other than 1.

Front

What is the definition of 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, \frac{3}{4}.

Front

How do you multiply two fractions?

Back

To multiply two fractions, multiply the numerators together and the denominators together. For example, \frac{2}{3} x \frac{4}{5} = \frac{2 \times 4}{3 \times 5} = \frac{8}{15}.

Front

What is the relationship between multiplication and division of fractions?

Back

Multiplying by a fraction is the same as dividing by its reciprocal. For example, multiplying by \frac{1}{2} is the same as dividing by 2.