ANSWER:
The simplest form after the multiplication of fraction 15/24 and 4 2/3 is [tex]-2 \frac{11}{12}[/tex]
SOLUTION:
Given fraction are [tex]\frac{-15}{24}[/tex] and [tex]4 \frac{2}{3}[/tex]
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 [tex]\frac{4 \times 3 + 2}{3} = \frac{14}{3}[/tex]
Now, we can multiply both the fraction to get a simpler form
[tex]-\frac{15}{24} \times \frac{14}{3}[/tex]
On multiplying and reducing, we get, [tex]\frac{-35}{12}[/tex]
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 [tex]-2 \frac{11}{12}[/tex]
