Question

What is the value of the expression below?

Answer 1

1/8

Explanation:

so for 1 3/4 we need to make it into an improper fraction

so 1 3/4= 7/4

for 1 1/2 we need to make it into an improper fraction

so 1 1/2= 3/2

since there is an exponent we need to multiply 3/2 by itself 3 times

so 3/2 X 3/2 X 3/2= 27/8

now we have a new expression

7/4 divided by 1/2 - 27/8

now we need to do KCF ( keep change flip)

7/4 stays the same, we need to change the sign into multiplication, and we need to flip the last fraction to it's reciprocal so its

7/4 X 1/2 -27/8

now 7/4 X 1/2 is 14/4

so now we subtract 14/4 with 27/8

as we can see the denominators are not the same so lets make both be over 8

so we multiply 14/4 by 2 on the numerator and denominator and we get 28/8

so we subtract 28/8 by 27/8 and we get 1/8 as our answer.

Answer 2

1/8

Explanation:

so for 1 3/4 we need to make it into an improper fraction

so 1 3/4= 7/4

for 1 1/2 we need to make it into an improper fraction

so 1 1/2= 3/2

since there is an exponent we need to multiply 3/2 by itself 3 times

so 3/2 X 3/2 X 3/2= 27/8

now we have a new expression

7/4 divided by 1/2 - 27/8

now we need to do KCF ( keep change flip)

7/4 stays the same, we need to change the sign into multiplication, and we need to flip the last fraction to it's reciprocal so its

7/4 X 1/2 -27/8

now 7/4 X 1/2 is 14/4

so now we subtract 14/4 with 27/8

as we can see the denominators are not the same so lets make both be over 8

so we multiply 14/4 by 2 on the numerator and denominator and we get 28/8

so we subtract 28/8 by 27/8 and we get 1/8 as our answer.