Solve for the Missing Fraction in 5×17-112-?/14=-27.5

Question

What is the missing number in the equation?

5×17112?14=27.5 5\times17-112-\frac{?}{14}=-27.5

Video Solution

Solution Steps

00:01 Parentheses take precedence over other operations
00:15 Solve from left to right
00:31 Add 27 to both sides to isolate the variable
00:52 Multiply both sides by 14

Step-by-Step Solution

We place the multiplication exercise inside of the parenthesis:

(5×17)112x14=27.5 (5\times17)-112-\frac{x}{14}=-27.5

We solve the multiplication exercise and then subtract:

85112x14=27.5 85-112-\frac{x}{14}=-27.5

27x14=27.5 -27-\frac{x}{14}=-27.5

We swap sections:

x14=27.5+27 -\frac{x}{14}=-27.5+27

x14=12 -\frac{x}{14}=-\frac{1}{2}

We multiply by 14:

x=12×14 -x=-\frac{1}{2}\times14

x=7 -x=-7

We multiply by -1

x=7 x=7

Answer

7 7