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

What is the missing number in the equation?

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

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:14 Begin by solving any operations inside parentheses. They come first.
00:28 Next, work through the problem from left to right. One step at a time.
00:44 To get the variable by itself, add twenty-seven to both sides.
01:05 Finally, multiply both sides by fourteen. And that's how we solve it!

Step-by-step written solution

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1

Understand the problem

What is the missing number in the equation?

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

2

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

3

Final Answer

7 7

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\( 100+5-100+5 \)

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