How do you find the unknown value of #32divy=4#?

1 Answer
Apr 2, 2018

Answer:

#32/y(y/32)=4(y/32)#
#1=y/8#
#8(1)=8(y/8)#
#y=8#

Explanation:

Multiply the 32/y fraction by its reciprocal, to obtain 1, which removes y from the denominator. In order to not affect the equality, you must also multiply the other side - the 4, by the reciprocal of the 32/y fraction.
On the left, we now have 1, and, on the right, the 4 cancels a 4 out of the 32 on the denominator, leaving us with a denominator of 8.
To clear the denominator 8 on the right, multiply both sides of the equation by 8, this leaves us with the solution, y equals 8.