Adding and Subtracting Mixed Numbers

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction, such as 2 \frac{3}{4}.

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

How do you subtract mixed numbers?

Back

To subtract mixed numbers, first subtract the whole numbers, then subtract the fractions. If the fraction from the first number is smaller than the second, borrow from the whole number.

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator, such as \frac{9}{4}.

Front

What are equivalent fractions?

Back

Equivalent fractions are fractions that represent the same value, such as \frac{1}{2} and \frac{2}{4}.

Front

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

Back

The first step is to find a common denominator.

Front

What is the common denominator of \frac{1}{3} and \frac{1}{4}?

Back

The common denominator of \frac{1}{3} and \frac{1}{4} is 12.

Front

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

Back

Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator.

Front

Convert 2 \frac{1}{3} to an improper fraction.

Back

2 \frac{1}{3} = \frac{7}{3}.

Front

What is the sum of 3 \frac{1}{2} and 2 \frac{2}{5}?

Back

3 \frac{1}{2} + 2 \frac{2}{5} = 5 \frac{9}{10}.