How do you evaluate #\frac { 10} { 32} - \frac { 1} { 4}#?

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Answer 1 · 2017-10-06T23:18:41

#1/16#

Find a common denominator between 32 and 4.

If you multiply 4 by 8 you get 32, which is a common denominator.

Therefore we have to multiply #1/4# by 8 in the numerator and denominator (multiply by a giant one):

#10/32-(1*8)/(4*8)#

#10/32-8/32#

Now that they have a common denominator you can subtract the numerators:

#10/32-8/32=2/32#

Finally reduce the fraction by dividing by 2 in the numerator and denominator (dividing by a giant one):

#(2-:2)/(32-:2)=1/16#