Question

What is the value of the expression?

Answer 1

The expression given is (1/4)- (3/7)×(7/8)

In order to solve this we first need to find the Greatest Common Factor 

·GCF=56
Proof: 56/7=8, 56/8=7, 56/4=14

Now we multiply each fraction by the given factor to create the new fractions.

·(14/56)-(24/56)×(48/56)

Next we multiply (24/56) and (48/56), due to the laws of PEMDAS

·(1152/3136)

Next to make this easier, we can devide the denominator by 56 to get the number we need to finish the problem

·56×56=3136

·(784/3136)=(14/56)

Next we subtract 

·(784/3136)-(1152/3136)

And we get 

·(-368/3136)

Next we simplify

·(-23/196)

which is roughly -(1/8)

In conclusion your answer is -(1/8)

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