Multiplying fractions, whole numbers, and mixed numbers

Front

What is a fraction?

Back

A fraction represents a part of a whole and is written as 'a/b', where 'a' is the numerator (part) and 'b' is the denominator (whole).

Front

How do you multiply a fraction by a whole number?

Back

To multiply a fraction by a whole number, multiply the numerator of the fraction by the whole number and keep the denominator the same. For example, 3 x (2/5) = (3*2)/5 = 6/5.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction, such as 2 1/2.

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, add the numerator, and place that over the original denominator. For example, 2 1/2 = (2*2 + 1)/2 = 5/2.

Front

What is the first step in multiplying two fractions?

Back

The first step in multiplying two fractions is to multiply the numerators together and the denominators together.

Front

What is the product of 1/2 and 3/4?

Back

The product of 1/2 and 3/4 is (1*3)/(2*4) = 3/8.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD). For example, 6/8 simplifies to 3/4.

Front

What happens when you multiply a fraction by 1?

Back

When you multiply a fraction by 1, the fraction remains unchanged. For example, 3/5 x 1 = 3/5.

Front

What is the result of multiplying a fraction by 0?

Back

The result of multiplying any fraction by 0 is 0. For example, 3/4 x 0 = 0.

Front

How do you multiply mixed numbers?

Back

To multiply mixed numbers, first convert them to improper fractions, then multiply the fractions, and simplify if necessary.