Adding, Subtracting, Multiplying, and Dividing Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number).

Front

How do you add fractions with the same denominator?

Back

Add the numerators and keep the denominator the same. Example: 1/4 + 2/4 = (1+2)/4 = 3/4.

Front

How do you add fractions with different denominators?

Back

Find a common denominator, convert the fractions, then add the numerators. Example: 1/3 + 1/4 = 4/12 + 3/12 = 7/12.

Front

What is the process for subtracting fractions?

Back

Similar to addition: if the denominators are the same, subtract the numerators. If different, find a common denominator first.

Front

How do you multiply fractions?

Back

Multiply the numerators together and the denominators together. Example: 1/2 * 3/4 = (1*3)/(2*4) = 3/8.

Front

What is the rule for dividing fractions?

Back

To divide by a fraction, multiply by its reciprocal. Example: 1/2 ÷ 3/4 = 1/2 * 4/3 = 4/6 = 2/3.

Front

What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions, used to add or subtract them.

Front

What is the lowest terms of a fraction?

Back

A fraction is in lowest terms when the numerator and denominator have no common factors other than 1.

Front

What is the product of 1/3 and 3/5?

Back

1/3 * 3/5 = (1*3)/(3*5) = 3/15 = 1/5.

Front

What is the difference between 7/9 and 1/5?

Back

Find a common denominator (45): 7/9 = 35/45, 1/5 = 9/45. Then, 35/45 - 9/45 = 26/45.