Mixed Numbers and Improper Fractions

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction. For example, 2 1/4 is a mixed 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. For example, 5/4 and 7/7 are improper fractions.

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. For example, 2 1/4 = (2*4 + 1)/4 = 9/4.

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 is the new numerator over the original denominator. For example, 9/4 = 2 1/4.

Front

What is the relationship between mixed numbers and improper fractions?

Back

Mixed numbers and improper fractions represent the same value. A mixed number can be converted to an improper fraction and vice versa.

Front

What is the improper fraction for the mixed number 3 2/5?

Back

The improper fraction for 3 2/5 is 17/5.

Front

What is the mixed number for the improper fraction 11/4?

Back

The mixed number for 11/4 is 2 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 result is negative, borrow from the whole number.

Front

What is the improper fraction for the mixed number 1 3/2?

Back

The improper fraction for 1 3/2 is 5/2.