How do you divide a fraction without using a calculator?

Answer 1

if you are dividing two fractions, then use the keep change flip rule and multiply them.

for example: 1/2 divided by 3/4 would become 1/2 x 4/3 = 4/6 = 2/3

if you are just dividing a whole number or decimal by a fraction, you can turn the fraction into a decimal and divide using the decimal (4 divided by 3/4 = 4 divided by .75)

Answer 2

I don't know exactly what you mean by "divide a fraction" but here is a tip for mental calculations.

Use the distributive law of Algebra to reduce a complex multiplication to a simpler multiplication with addition (step 3 below):
3/4 = (1/4)*(3) = (1/4)*(2+1) = 2/4+1/4 = .5+.25 = .75

If you can remember your basic fractions (1/2 = .5, 1/3 = .333, 1/4 = .25, 1/5 = .2, 1/6 = .1667,etc.) then this trick can help you to do quick calculations because mental addition is usually easier for people than multiplication. Note that division must be though of as multiplication in order to use this. Another example with pure multiplication:
17*(13) = 17*(10+2+1) = 170+34+17 = 221. I'm not sure if that is what you are looking for, but I use it all the time!

Answer 3

I'm assuming you mean dividing a fraction by another fraction? Like 3/4 over 1/2?

If that is right then invert the second fraction (1/2 becomes 2/1) and MULTIPLY it with the 3/4.

3/4 x 2/1 would give you 6/4 reduced to 3/2.

Hope that was of some help.

Answer 4

dividing fractions is same thing as multiplying but in reverse
example 5 X 5 = 25 same as 25 divided by 5 = 5

Answer 5

Agree with FutureSoldier, except in this case, reduce the fraction as low as you can, then use long division. 156/600 reduces to 13/50. 50 into 13 = 0.26 or 26%

Answer 6

With paper and pencil. Or, if you're any good at all, you do it in your head. But that sort of things seems to be discouraged by both the schools -and- parents these days, and most students would rather watch TV than learn anyway.

Doug