Mixed numbers and Improper fractions

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 2 1/2.

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 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 over the original denominator is the 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

What is the improper fraction equivalent of 3 1/2?

Back

The improper fraction equivalent of 3 1/2 is 7/2.

Front

What is the mixed number equivalent of 21/4?

Back

The mixed number equivalent of 21/4 is 5 1/4.

Front

What is the process to 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 the process to 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

How do you simplify an improper fraction?

Back

To simplify an improper fraction, divide the numerator and denominator by their greatest common divisor (GCD).

Front

What is the relationship between mixed numbers and improper fractions?

Back

Every mixed number can be expressed as an improper fraction, and vice versa.