Adding, Subtracting, Multiplying, and Dividing Fractions

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 add fractions with the same denominator?

Back

To add fractions with the same denominator, keep the denominator the same and add the numerators. 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, find a common denominator, convert the fractions, and then add the numerators. Example: 1/3 + 1/4 = 4/12 + 3/12 = 7/12.

Front

What is the process for subtracting fractions?

Back

To subtract fractions, if they have the same denominator, subtract the numerators and keep the denominator. If they have different denominators, find a common denominator first.

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. Example: (2/3) x (4/5) = (2*4)/(3*5) = 8/15.

Front

What is the process for dividing fractions?

Back

To divide fractions, multiply by the reciprocal of the second fraction. Example: (1/2) ÷ (3/4) = (1/2) x (4/3) = 4/6 = 2/3.

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. Example: 8/12 can be simplified to 2/3.

Front

What is the sum of 1/2 and 1/3?

Back

To add 1/2 and 1/3, find a common denominator (6): (3/6) + (2/6) = 5/6.

Front

What is the difference of 3/4 and 1/2?

Back

To subtract 1/2 from 3/4, convert 1/2 to 2/4: (3/4) - (2/4) = 1/4.

Front

What is 2/5 + 3/10?

Back

To add 2/5 and 3/10, convert 2/5 to 4/10: (4/10) + (3/10) = 7/10.