logo for solving-math-problems.com
leftimage for solving-math-problems.com

Algebra - a/b divided by c/d

Show how to divide one fraction by a second fraction:

a/b divided by c/d

Explain your reasoning.

Comments for Algebra - a/b divided by c/d

Click here to add your own comments

Oct 09, 2010
Dividing Fractions
by: Staff

The question:

a/b divided by c/d

The answer:

a/b divided by c/d

= (a/b)/(c/d)

= (a/b) * (d/c)

= (a*d)/(b*c)

= ad/bc

If you would like an explanation, it is this:

Any number multiplied by 1 is still the original number. Multiplying by 1 does not change its value.

A number divided by itself is = 1

1 = the fraction (d/c)/(d/c)

Your original question is:


Multiply your original fraction by the fraction (d/c)/(d/c). Note that (d/c)/(d/c) = 1.

[(a/b)/(c/d)] * [(d/c)/(d/c)]

= [(a/b)*(d/c)] / [(c/d)*(d/c)]

The fractions in the denominator cancel one another [(c/d)*(d/c) = 1]

= [(a/b)*(d/c)] / 1

= (a/b)*(d/c)

= (a*d)/(b*c)

= ad/bc

Thanks for writing.


Click here to add your own comments

Join in and write your own page! It's easy to do. How? Simply click here to return to Math Questions & Comments - 01.

Copyright © 2008-2015. All rights reserved. Solving-Math-Problems.com