Multiplying and Dividing Fractions

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator, such as 11/4.

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. The quotient becomes the whole number, and the remainder over the original denominator becomes the fractional part.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 2 2/5.

Front

What is a proper fraction?

Back

A proper fraction is a fraction where the numerator is less than the denominator, such as 2/5.

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, (2/3) * (4/5) = (2*4)/(3*5) = 8/15.

Front

How do you divide fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. For example, (2/3) ÷ (4/5) = (2/3) * (5/4) = (2*5)/(3*4) = 10/12.

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by swapping the numerator and denominator. For example, the reciprocal of 3/4 is 4/3.

Front

What is the least common denominator (LCD)?

Back

The least common denominator is the smallest multiple that is common to the denominators of two or more fractions.

Front

How do you find the least common denominator?

Back

To find the least common denominator, list the multiples of each denominator and identify the smallest multiple that appears in both lists.

Front

What is the process for adding fractions with different denominators?

Back

To add fractions with different denominators, first find the least common denominator, convert each fraction to an equivalent fraction with the LCD, and then add the numerators.