Question

Write the answer in simplest form- 15/24 multiples by 4 2/3

Answer 1

Explanation:

here ya go

Answer 2

The simplest form after the multiplication of fraction 15/24 and 4 2/3 is
`-2 (11)/(12)`

SOLUTION:

Given fraction are
`(-15)/(24)` and
`4 (2)/(3)`

The second fraction is given in the mixed form which can be simplified into an improper fraction for the purpose of calculation.

The improper form of the mixed fraction is
`(4 * 3 + 2)/(3) = (14)/(3)`

Now, we can multiply both the fraction to get a simpler form

`-(15)/(24) * (14)/(3)`

On multiplying and reducing, we get,
`(-35)/(12)`

Since the obtained answer is an improper fraction, this is not its simplest form.

To convert it to the simplest form we need to make it a mixed fraction.

This is done by dividing -35 by 12 till it cannot be further divided. Then the quotient is written as a whole number and the remainder forms the numerator of the mixed fraction and the divisor becomes the denominator.

Therefore the simplest form of the improper fraction is
`-2 (11)/(12)`