# Divide Rational Fractions Worksheets

How to Divide Rational Fractions - A rational number is a number that can be written as a normal fraction, like a ratio. For example: 5 = 5/1 | 1.75 = 7/4 | .001 = 1/1000 | 0.111… = 1/9. So, a rational number looks like: P/Q. But remember, Q cannot be zero. Multiplication - So, if you are looking to multiply rational numbers, the first tip to do it successfully is multiplying the tops and bottoms with each other separately. Like this: a/b x c/d = ac / bd
1/2 x 2/5 = (1 x 2) / (2x5) = 2/10 = 1/5. Division - When it comes down to dividing the rational numbers. First, you need to flip the second number or make it a reciprocal and then multiply like below: A/B ÷ C/D or A/B x D/C = AD/BC. 1/2 divided by 1/6. Reciprocal of the second fraction = 6/1. Hence, 1/2 x 6/1 = (1 x 2) / (6x1) = 6/2 = 3. Often times student uses some pictorial or visual aid that can help them understanding the problem much better.

• ### Basic Lesson

Demonstrates how to use the rule for dividing rational fractions. The rule for dividing rational fractions is same as that of dividing numerical fractions. Change the division sign to multiplication sign by flipping the second fraction and then follow same rules as in multiplication of rational fractions.

• ### Intermediate Lesson

Explores how to divide complex fractions.

• ### Independent Practice 1

Contains 20 Divide Rational Fractions problems. The answers can be found below.

• ### Independent Practice 2

Features another 20 Divide Rational Fractions problems.

• ### Homework Worksheet

Divide Rational Fractions problems for students to work on at home. Example problems are provided and explained.

• ### Topic Quiz

10 Divide Rational Fractions problems. A math scoring matrix is included.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

• ### Lesson and Practice Answer Key

Answers for both lessons and both practice sheets.

#### Monopoly Math

The following three equations represent words that have a common relationship. The first letter of each word is given. Where will you find the following equations to be true? Y = 10, G = 20, B = 50 Answer: In the game of Monopoly. These are the colors of the money in the US version of the game. Yellow is \$10 (Y = 10) Green is \$20 (G = 20) Blue is \$50 (B = 50).