Question

.Multiply 5/12 by the reciprocal of -6/17

Answer 1

$\large \sf \frac{5}{12} \times \frac{17}{ - 6} = \frac{5}{2} \times - 17 = \frac{ - 85}{2}$

Answer 2

Step-by-step explanation:

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

* denotes approximate value.