How do you evaluate #\frac { 10} { 12} - \frac { 4} { 7} #?

2 Answers
Martha W.
Jun 28, 2017

#11/42#

Explanation:

Usually you would first find the common denominator, (in this case the LCM =84) for this problem I would start by simplifying #10/12=5/6# Now the LCM is is 42 and will save simplifying later.

Next multiply each fraction by a fraction (that =1) to make the denominator=42

#5/6*7/7=35/42#

#4/7*6/6=24/42#

Subtracting these the answer is #11/42#

John C.
Jun 28, 2017

#11/42#

Explanation:

Method: Change both fractions to the common denominator.

This can be done by multiplying 12 by 7

#(10/12)* (7/7) - (4/7)*(12/12)# Multiplying by #7/7, 12/12# does not change the fractions as it is the same as multiplying by #1#

#=(70/84)-(48/84)#

#=22/84#

#=11/42#

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