Subtract 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 subtract mixed numbers?

Back

1. Convert mixed numbers to improper fractions. 2. Subtract the fractions. 3. Convert back to a mixed number if necessary.

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

Convert the mixed number 2 \frac{3}{4} to an improper fraction.

Back

2 \frac{3}{4} = \frac{11}{4}.

Front

What is the first step in subtracting mixed numbers?

Back

Convert each mixed number to an improper fraction.

Front

Subtract the mixed numbers: 3 \frac{1}{2} - 1 \frac{1}{4}.

Back

3 \frac{1}{2} - 1 \frac{1}{4} = 2 \frac{1}{4}.

Front

What do you do if the fractions have different denominators?

Back

Find a common denominator before subtracting the fractions.

Front

Subtract the mixed numbers: 4 \frac{2}{3} - 2 \frac{1}{6}.

Back

4 \frac{2}{3} - 2 \frac{1}{6} = 2 \frac{3}{6} = 2 \frac{1}{2}.

Front

What is the result of 5 \frac{1}{2} - 2 \frac{2}{5}?

Back

5 \frac{1}{2} - 2 \frac{2}{5} = 3 \frac{1}{10}.

Front

How do you simplify a fraction?

Back

Divide the numerator and the denominator by their greatest common divisor (GCD).