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Study Guide: Multiplying and Dividing Fractions
Source: https://www.fatskills.com/basic-math/chapter/multiplying-and-dividing-fractions

Multiplying and Dividing Fractions

By Fatskills Exam Guides Team — the exam nerds behind 28,500+ quizzes and 2.1M practice questions across 500+ global exams.

⏱️ ~1 min read

Multiplying fractions: Multiply the top numbers and multiply the bottom numbers.

Simplify if necessary.  image
 

Dividing fractions: Keep, Change, Flip
-  Keep the first fraction, change the division sign to multiplication, and flip the numerator and denominator of the second fraction. Then, solve!

Examples:

Example 1.  Multiply. image
Solution: Multiply the top numbers and multiply the bottom numbers.
image, now, simplify: image 

Example 2.  Solve. image
Solution: Keep the first fraction, change the division sign to multiplication, and flip the numerator and denominator of the second fraction.
Then: image

Example 3.  Calculate. image
Solution: Multiply the top numbers and multiply the bottom numbers.
image, simplify:  image

Example 4.  Solve. image
Solution: Keep the first fraction, change the division sign to multiplication, and flip the numerator and denominator of the second fraction.
Then: image



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