Question

Multiply the fraction by the whole number. Find the answer as a proper fraction or mixed number in simplest terms. *

3 x 4/5: options
*2 3/5
*1 2/5
*2 1/5
*2 2/5

Answer 1

2
`(2)/(5)`

Explanation:

Whole numbers can be seen as the number over 1. So, 3 can also be written as
`(3)/(1)`. To do
`(3)/(1)` x
`(4)/(5)` you just multiply across (3x4 and 1x5). Doing so gets you
`(12)/(5)`. Since 12 is bigger than 5, you need to find out how many times 5 fits into 12, which is 2 times. This means 2 is the whole number, however you're still left with 2 from the fraction
`(12)/(5)`, since 2x5 is just 10. You write the remaining 2 as
`(2)/(5)`, because that's what the original denominator was. The final answer is 2
`(2)/(5)`.