Multiply Fractions and Whole Numbers

Front

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

Back

To multiply a whole number by a fraction, multiply the whole number by the numerator of the fraction and keep the denominator the same. For example, 2 x \frac{3}{4} = \frac{2 \times 3}{4} = \frac{6}{4} = 1 \frac{1}{2}.

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, in \frac{3}{4}, 3 is the numerator and 4 is the denominator.

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 becomes the whole number, and the remainder becomes the new numerator over the original denominator. For example, \frac{10}{3} = 3 \frac{1}{3}.

Front

What is the formula for multiplying fractions?

Back

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

Front

What does it mean for an equation to be true?

Back

An equation is true when both sides of the equation are equal. For example, in the equation 6 \times \frac{3}{6} = \frac{18}{6}, both sides simplify to 3, making the equation true.

Front

How do you find the total when multiplying a fraction by a whole number?

Back

To find the total when multiplying a fraction by a whole number, multiply the whole number by the numerator of the fraction and keep the denominator the same. For example, if Allison drank \frac{2}{3} cup of milk for 5 days, the total is 5 \times \frac{2}{3} = \frac{10}{3}.

Front

What is the relationship between multiplication and repeated addition?

Back

Multiplication can be thought of as repeated addition. For example, 3 \times 4 means adding 3 four times: 3 + 3 + 3 + 3 = 12.

Front

How do you express a distance that is a multiple of a fraction?

Back

To express a distance that is a multiple of a fraction, multiply the fraction by the whole number. For example, if Makai jogged \frac{5}{6} of a mile and Kuruan jogged 3 times that distance, the expression is 3 \times \frac{5}{6}.

Front

What is a mixed number?

Back

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

Front

What is the process for solving a multiplication problem involving fractions?

Back

1. Multiply the numerators together. 2. Multiply the denominators together. 3. Simplify the resulting fraction if possible.