Divide. 4 1/5÷2/3 please help

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Given:

4 1/5 / ⅔

Solution:

In order to easily divide the two fractions, we must first convert the mixed number into improper fraction. To do so we multiply the whole number to the denominator, then add the product to the numerator.

4 1/5

= 21/5

= 21/5 / ⅔

We must also take note that in dividing two fractions, we must take the reciprocal of the fraction in the denominator and multiply it with the fraction on the numerator. The reciprocal of the number, simply refers to its inverse or opposite, hence the reciprocal of ⅔ is 3/2

= (21/5)(3/2)

= 63/10

Final answer:

63/10 or 6.3