Multiply and Divide Fractions Word Problems

Front

What is the process for multiplying fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, (a/b) * (c/d) = (a*c)/(b*d).

Front

How do you divide fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. For example, (a/b) ÷ (c/d) = (a/b) * (d/c) = (a*d)/(b*c).

Front

What is a proper fraction?

Back

A proper fraction is a fraction where the numerator is less than the denominator, such as 1/2 or 3/4.

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 5/4 or 3/3.

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

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.

Front

What is the area of a rectangle?

Back

The area of a rectangle is calculated by multiplying its length by its width. For example, Area = length * width.

Front

How do you find the area of a rectangle when given fractions for length and width?

Back

To find the area of a rectangle with fractional dimensions, multiply the fractions together. For example, if length = 3/4 and width = 1/2, Area = (3/4) * (1/2) = 3/8.

Front

What is the relationship between fractions and division?

Back

Fractions represent division. For example, the fraction 1/2 represents 1 divided by 2.

Front

How do you simplify a fraction?

Back

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