Multiply & Divide Fractions & Whole 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, 3/5 × 3 = 9/5.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction, such as 1 4/5.

Front

How do you convert an improper fraction to a mixed number?

Back

Divide the numerator by the denominator. The quotient is the whole number, and the remainder over the original denominator is the fraction.

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction 'a/b' is 'b/a'. It is used when dividing fractions.

Front

How do you divide a fraction by a whole number?

Back

To divide a fraction by a whole number, multiply the fraction by the reciprocal of the whole number. For example, 1/2 ÷ 3 = 1/2 × 1/3 = 1/6.

Front

What does it mean to simplify a fraction?

Back

To simplify a fraction means to reduce it to its lowest terms by dividing the numerator and denominator by their greatest common factor.

Front

How do you find a common denominator?

Back

To find a common denominator, identify the least common multiple (LCM) of the denominators of the fractions you are working with.

Front

What is the process for adding fractions with different denominators?

Back

1. Find a common denominator. 2. Convert each fraction to an equivalent fraction with the common denominator. 3. Add the numerators and keep the common denominator.

Front

How do you subtract fractions?

Back

To subtract fractions, ensure they have the same denominator, then subtract the numerators and keep the denominator the same.