Fraction Operations

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 17/5.

Front

How do you divide fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. For example, 4/15 ÷ 2/5 = 4/15 × 5/2 = 2/3.

Front

What is the process to subtract mixed numbers?

Back

To subtract mixed numbers, convert them to improper fractions, then subtract the fractions and convert back if necessary. Example: 7 1/6 - 2 5/6 = 4 1/3.

Front

Can you add fractions with different denominators?

Back

No, you cannot add fractions with unlike denominators directly. You must first find a common denominator.

Front

What is the sum of 3 5/8 and 2 3/4?

Back

3 5/8 + 2 3/4 = 5 11/8 = 6 3/8.

Front

What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions, allowing them to be added or subtracted.

Front

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

Back

Multiply the whole number by the denominator, add the numerator, and place that over the original denominator. Example: 3 1/2 = (3*2 + 1)/2 = 7/2.

Front

What is the reciprocal of a fraction?

Back

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

Front

What is the result of multiplying two fractions?

Back

To multiply two fractions, multiply the numerators together and the denominators together. Example: 1/2 × 3/4 = 3/8.

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.