5 3/4 divided by 1 1/2

Mathematics · High School · Tue Nov 03 2020

Answered on

Given the statement:

 5 ¾ divided by 1 ½

Solution:

In order to divide two mixed numbers, we must convert them first into fractions. To do so, we multiply the whole number by the denominator and add the product to the numerator. Then we retain the denominator as it is.

5 ¾ = 23 / 4

1 ½ = 3/2

In dividing fractions, we need to take the reciprocal of the denominator or the divisor, which in our case is 3/2. The reciprocal of 3/2 is ⅔, it is simply the opposite or inverse of 3/2. After taking the reciprocal we multiply by the numerator.

= (23 / 4)  ( ⅔)

= 46 /12

= 3.83333 (repeating)

Final answer: 

=46/12 or 3.8333(repeating)