# How do you multiply fractions with whole numbers?(ex.3 3/4 times 3 3/4)

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asked Mar 1, 2016 in Math
edited Mar 2, 2016

First turn the whole number into a fraction by putting a zero under it

Then multiply the tops with the tops and the bottom number with the bottom number

You need to first convert everything to a simple fraction, like 4/7, 3/5, etc.

After that just multiply the tops and bottoms separately.

Example:

3 3/4 x 3 3/4

Convert 3 3/4 to a simple fraction first

3 3/4 = 3 + 3/4 (same thing. think about measuring water in a cup. you would add 3 cups PLUS 3/4 of a cup). In order to add the fractions, you need to make them both have the same bottom part, so multiply the 3, which is really 3/1 too, by 4 on the top and bottom

3/1 = 4x3/4x1 = 12/4

12/4 + 3/4 = 15/4

A shortcut to doing this conversion is to just multiply the bottom number of the mixed fraction '4' in 3 3/4 by the whole number on the far left ('3') and add it to the top part of the fraction. 4x3 + 3  = 15. You then put it all over the bottom part, so 15/4.

Once you have 2 regular fractions, just add them up.

15/4 + 15/4 = 30/4 = 7 1/2
answered Mar 4, 2016 by (21,210 points)
change into improper fraction

ex. 15/4 times 15/4

15*15/4*4

=225/16

=14.0625
answered Jun 27, 2017 by (366,250 points)