(c)Divide the sum of 5/ 8 and −3/ 16 by −3/4 .
Answers
Answer:
In other words:
(3/8 + -5/12) / (-15/8)(16/27)
First, perform the addition in the parentheses to the left; the GCF is 24:
(3/8 - 5/12)
GCF = 24
(9/24 - 10/24)
Subtract and you get -1/24
The expression, then, is:
(-1/24)/(-15/8)(16/27)
Multiply the terms in the denominator:
(-1/24)/(-240/216)
240 and 216 have common factors, which will let you reduce the equation. In this case, the GCF is 24
(-1/24)/(-10*24/9*24)
Reduce the fraction in the denominator:
(-1/24)/(-10/9)
Now, dividing by -10/9 is the same as multiplying by -9/10… so perform the multiplication:
(-1/24)(-9/10) = 9/240
The numerator and denominator, again, have a common factor: 3
(3*3)/(3*80) = 3/80
If you’re not convinced this is the proper way to solve this equation, first do the division of 3/80 on a calculator. You end up with 0.0375
Now, perform the division with the previous fraction:
(-1/24)/(-10/9) = *(0.0417) / 1.11 = *0.0375
Answer:
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