Adding & Subtracting Fractions & Mixed Numbers

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

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction, such as 2 1/4.

Front

How do you add fractions with the same denominator?

Back

Add the numerators and keep the denominator the same. For example, 1/4 + 2/4 = (1+2)/4 = 3/4.

Front

How do you subtract fractions with the same denominator?

Back

Subtract the numerators and keep the denominator the same. For example, 3/5 - 1/5 = (3-1)/5 = 2/5.

Front

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

Back

Find a common denominator for both fractions.

Front

How do you find a common denominator?

Back

The common denominator is usually the least common multiple (LCM) of the denominators.

Front

What is the process to 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. For example, 2 1/4 = (2*4 + 1)/4 = 9/4.

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

What is the result of adding 1/3 and 1/6?

Back

1/3 + 1/6 = 2/6 + 1/6 = 3/6 = 1/2 after simplifying.

Front

What is the result of subtracting 3/4 from 1?

Back

1 - 3/4 = 4/4 - 3/4 = 1/4.