Operations on Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and is expressed as a ratio of two integers, where the numerator is the part and the denominator is the whole.

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 have no common factors other than 1.

Front

How do you find a common denominator for two fractions?

Back

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

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

What is the process for subtracting fractions with different denominators?

Back

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

Front

How do you multiply two fractions?

Back

To multiply two fractions, multiply the numerators together and multiply the denominators together. Then simplify if necessary.

Front

How do you divide two fractions?

Back

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

Front

What is the lowest terms of the fraction 4/8?

Back

1/2, because both the numerator and denominator can be divided by 4.

Front

What is the sum of 1/4 and 1/2?

Back

3/4, after finding a common denominator (4) and adding the fractions.

Front

What is the difference between 3/5 and 1/5?

Back

2/5, after finding a common denominator and subtracting the fractions.