multiply fractions by whole numbers using repeated addition

Front

What is a fraction?

Back

A fraction represents a part of a whole. It consists of a numerator (top number) and a denominator (bottom number). For example, in the fraction 2/5, 2 is the numerator and 5 is the denominator.

Front

What does it mean to multiply a fraction by a whole number?

Back

Multiplying a fraction by a whole number means you are adding that fraction to itself a certain number of times. For example, 2/5 multiplied by 3 means you add 2/5 three times: 2/5 + 2/5 + 2/5.

Front

How do you convert a fraction to an improper fraction?

Back

To convert a mixed number (like 2 1/2) to an improper fraction, multiply the whole number by the denominator and add the numerator. For 2 1/2, it becomes (2*2 + 1)/2 = 5/2.

Front

What is repeated addition?

Back

Repeated addition is the process of adding the same number multiple times. For example, 4 + 4 + 4 is the same as 4 multiplied by 3.

Front

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

Back

To find the total amount, multiply the numerator of the fraction by the whole number and keep the same denominator. For example, for 2/5 multiplied by 6, you calculate (2*6)/5 = 12/5.

Front

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

Back

The first step is to multiply the numerator of the fraction by the whole number.

Front

What is the second step in multiplying a fraction by a whole number?

Back

The second step is to keep the denominator the same after multiplying the numerator.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide both the numerator and the denominator by their greatest common divisor (GCD). For example, to simplify 4/8, divide both by 4 to get 1/2.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction. For example, 1 3/4 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 new numerator over the original denominator.