Multiplying & Dividing Rational Numbers

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

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 process for multiplying fractions?

Back

To multiply fractions, multiply the numerators together and multiply the denominators together. Simplify if possible.

Front

How do you divide fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction.

Front

What is the reciprocal of a number?

Back

The reciprocal of a number is 1 divided by that number. For a fraction, it is obtained by swapping the numerator and denominator.

Front

How do you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator by the denominator.

Front

What is the simplest form of a fraction?

Back

The simplest form of a fraction is when the numerator and denominator have no common factors other than 1.

Front

How do you estimate the result of a division problem?

Back

To estimate the result of a division problem, round the numbers to the nearest whole number or a convenient value before dividing.

Front

What does it mean to simplify a fraction?

Back

To simplify a fraction means to reduce it to its lowest terms, where the numerator and denominator are as small as possible.

Front

How do you multiply a whole number by a fraction?

Back

To multiply a whole number by a fraction, convert the whole number to a fraction (by placing it over 1) and then multiply the numerators and denominators.