How do you times a mixed fraction by a whole number?

Answer 1

As an example

2 3/5 X 7

First convert the mixed number to an improper fraqction

Hence

2 3/5 = 13/5

Next we convert the '7' to an improper fraction by placing it over a trivial '1'.

Hence '7' = '7/1'.

Re-writing

13/5 x 7/1

We separate;y multiply the numerators together, and the denominators together.

Hence

13/5 X 7/1 = 91/5

Finally we convert the improper fraction back to a mixed fraction by dividing by '5' , which will give an answer of '18' and a remainder of '1'

Hence it is re-written as ' 18 1/5 '. The answer.

NB Whenthe numbers become large , look to see if you can cancel down /reduce.

So amending the above numbers slightly.

2 3/5 X 5 = >

13/5 X 5/1

In this case '5' is a common factor ; top & bottom'. so we cancel down by '5'

Hence

13/1 X 1/1

proceeding as before.

13 / 1 = 13 The answer!!!!!

These methods are good for any set of frqactional numbers.

Answer 2

Convert the mixed fraction to an improper fraction, multiply by the whole number, convert the answer back to a mixed fraction (if required).