Comparing improper fractions and mixed numbers

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator (top number) is greater than or equal to the denominator (bottom number). For example, 9/4 is an improper fraction.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction. For example, 2 1/3 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 proper fraction.

Front

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

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that result over the original denominator.

Front

Compare: 19/8 and 2 ⅘. Which is greater?

Back

19/8 < 2 ⅘.

Front

Compare: 3 ⅓ and 10/3. Are they equal?

Back

3 ⅓ = 10/3.

Front

Who baked more pies: Sarah with 23/10 or James with 2 ½?

Back

Sarah baked more pies.

Front

Who drank more water: Liam with 11/4 liters or Sophie with 2 ⅜ liters?

Back

Sophie drank more water.

Front

Compare: 7/3 and 2 2/5. Which is greater?

Back

7/3 < 2 2/5.

Front

What is the first step in comparing an improper fraction and a mixed number?

Back

Convert the mixed number to an improper fraction or vice versa.