Adding and Subtracting 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 (the number of parts) and 'b' is the denominator (the total number of equal parts).

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 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

What is the first step in adding fractions with different denominators?

Back

The first step is to find a common denominator, which is a multiple of both denominators.

Front

How do you find a common denominator for 1/3 and 1/4?

Back

The least common denominator (LCD) of 3 and 4 is 12. Convert 1/3 to 4/12 and 1/4 to 3/12.

Front

What is the result of adding 1/3 and 1/4?

Back

1/3 + 1/4 = 4/12 + 3/12 = 7/12.

Front

What is the result of subtracting 2/5 from 4/5?

Back

4/5 - 2/5 = (4-2)/5 = 2/5.

Front

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

Back

Divide the numerator by the denominator. The quotient is the whole number, and the remainder is the new numerator over the original denominator.

Front

Convert 9/4 to a mixed number.

Back

9/4 = 2 1/4 (2 is the whole number, 1 is the remainder, and 4 is the denominator).

Front

What is the result of 5/7 = 1/7 + 2/7 + 2/7?

Back

This equation shows that 5/7 can be expressed as the sum of 1/7 and two 2/7 fractions.