Add and Subtract Fractions/Mixed Numbers

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction. For example, 2 3/4 is a mixed number.

Front

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

Back

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient is the whole number, and the remainder over the original denominator is the fraction.

Front

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

Back

The first step is to find a common denominator for the fractions.

Front

What is the common denominator of 3/4 and 1/6?

Back

The common denominator of 3/4 and 1/6 is 12.

Front

How do you add mixed numbers?

Back

To add mixed numbers, first add the whole numbers, then add the fractions. If the fraction sum is improper, convert it to a mixed number.

Front

What is 4 1/3 + 7 1/3?

Back

4 1/3 + 7 1/3 = 11 2/3.

Front

What is the result of 3/4 - 1/6?

Back

3/4 - 1/6 = 7/12.

Front

How do you simplify the fraction 2/12?

Back

To simplify 2/12, divide both the numerator and denominator by their greatest common divisor, which is 2. So, 2/12 simplifies to 1/6.

Front

What is the sum of 3 1/2 and 2 4/8?

Back

3 1/2 + 2 4/8 = 6.

Front

How do you convert 3 5/6 to an improper fraction?

Back

To convert 3 5/6 to an improper fraction, multiply the whole number by the denominator (3*6=18), add the numerator (18+5=23), and place it over the original denominator: 23/6.