Dr. Math FAQ ||
Classic Problems ||
Formulas ||
Search Dr. Math ||
Dr. Math Home

## How do you divide fractions? Say, 2/3 divided by 3/4.Wouldn't it be nice if dividing fractions were as easy as dividing whole numbers? Well, dividing fractions can be as easy as multiplying fractions, if we use this shortcut:
...invert and multiply.
Say you want to divide 2/3 by 3/4, like this: 2/3 _____ 3/4 That looks complicated. Can we start by getting rid of the denominator fraction, so we only have to deal with the numerator fraction? There's a way to do just that: if we multiply a fraction by its reciprocal, the result equals one. In this case, the reciprocal of 3/4 is 4/3. If we multiply both the numerator and denominator by 4/3, we get: 2/3 4/3 _____ * ____ 3/4 4/3 Why did we multiply by a fraction with 4/3 in both the numerator and denominator? Because this fraction equals one, and when we multiply by one, we don't change the values in the problem.
Are you ready? Let's multiply. 2/3 4/3 8/9 8/9 _____ * _____ = _______ = _____ = 8/9 3/4 4/3 12/12 1
2/3 2 4 8 _____ = _ * _ = _ 3/4 3 3 9 It's not that you can't divide fractions using division, it's just a whole lot easier using multiplication. Is there another way? ## And see:-
Fractions, Decimals, Percents - Dr. Math FAQ
Fraction Help - Teacher2Teacher FAQ ## From the Dr. Math archives:-
Elementary School Level: Fractions and Decimals
Middle School Level: Fractions and Percents
Fraction Basics ## On the Web:-
Dividing Simple Fractions - S.O.S. Math
Fractions - Harcourt How to Multiply and Divide Fractions - DAU Tutorial Modules |

[**Privacy Policy**]
[**Terms of Use**]

Math Forum Home ||
Math Library ||
Quick Reference ||
Math Forum Search

© 1994-2015 Drexel University. All rights reserved.

http://mathforum.org/

The Math Forum is a research and educational enterprise of the Drexel University School of Education.