Question

( 1/3 +1 1/16 − 13/24 + 1/8 )∙96

Answer 1

Answer:

94

Step-by-step explanation:

We must first evaluate the expression in parentheses (remember our order of operations, PEMDAS).  To do this, we must find a common denominator.

The first thing that 3, 16, 24 and 8 will all divide into is 48; we must convert each fraction to 48ths.

It takes 16 3's to make 48; this means we multiply the top and bottom of this fraction by 16.  This gives us 16/48.

It takes 3 16's to make 48; this means we multiply the top and bottom of this fraction by 3.  This gives us 1 3/48.

It takes 2 24's to make 48; this means we multiply the top and bottom of this fraction by 2.  This gives us -26/48.

It takes 6 8's to make 48; this means we multiply the top and bottom of this fraction by 6.  This gives us 6/48.

This means we have

(16/48 + 1 3/48 - 26/48 + 6/48)(96)

(1 19/48 - 26/48 + 6/48)(96)

(67/48 - 26/48 + 6/48)(96)

(41/48 + 6/48)(96)

47/48(96) = (47*96)/(48) = 47*2 = 94