Operations of Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole. It consists of a numerator (top number) and a denominator (bottom number). For example, 1/2 means one part out of two equal parts.

Front

What does the numerator in a fraction represent?

Back

The numerator is the top number of a fraction and represents how many parts of the whole are being considered.

Front

What does the denominator in a fraction represent?

Back

The denominator is the bottom number of a fraction and indicates the total number of equal parts the whole is divided into.

Front

How do you add fractions with the same denominator?

Back

To add fractions with the same denominator, keep the denominator the same and add the numerators. For example, 1/4 + 2/4 = (1+2)/4 = 3/4.

Front

How do you add fractions with different denominators?

Back

To add fractions with different denominators, first find a common denominator, convert the fractions, and then add the numerators. For example, 1/3 + 1/6 = 2/6 + 1/6 = 3/6 = 1/2.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction. For example, 2 1/2 means 2 whole parts and 1/2 of another part.

Front

How do you subtract fractions with the same denominator?

Back

To subtract fractions with the same denominator, keep the denominator the same and subtract the numerators. For example, 3/5 - 1/5 = (3-1)/5 = 2/5.

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, 2/3 * 3/4 = (2*3)/(3*4) = 6/12 = 1/2.

Front

How do you divide fractions?

Back

To divide fractions, multiply by the reciprocal of the second fraction. For example, 1/2 ÷ 3/4 = 1/2 * 4/3 = 4/6 = 2/3.

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator. For example, 5/4 is an improper fraction.