Adding and Multiplying Fractions

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 3 3/4.

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 to find the whole number, and use the remainder as the numerator of the proper fraction.

Front

What is the product of two fractions?

Back

The product of two fractions is found by multiplying the numerators together and the denominators together.

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.

Front

What is the lowest terms of a fraction?

Back

A fraction is in lowest terms when the numerator and denominator have no common factors other than 1.

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).

Front

What is the process for adding fractions with different denominators?

Back

To add fractions with different denominators, find a common denominator, convert the fractions, and then add the numerators.

Front

What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions, used to add or subtract them.

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 result over the original denominator.

Front

What is the formula for multiplying mixed numbers?

Back

To multiply mixed numbers, convert them to improper fractions, multiply the fractions, and then convert back to a mixed number if necessary.