Q:

1 Divided by What Equals 8?

Accepted Solution

A:
1 Divided by What Equals 8?MethodsSetting up the problem:In a problem like this, the “what” means that we’re working with a variable. The most common variable used in math is “x”. So we could say what number, x can we divide 1 by to equal 8?Solving 1 Divided by What Equals 8Here’s how you would set up this question as an equation:1x=8\frac{1}{x} = 8x1​=8The goal of the problem is to solve for x. To do this we need to change the equation so that x is alone on one side of the equation.In this case, it can be done in two steps. The first step is to multiply both sides by x to isolate 1:1=8∗x1 = 8*x1=8∗xThen we can isolate x on the right side of the equation by dividing both sides by 8:18=x\frac{1}{8} = x81​=xWhen we simplify the new equation, we can solve for x. In this example, we will round to the nearest three decimal places if that’s needed.x=0.125x = 0.125x=0.125Practice Other Division Problems Like This OneIf this problem was a little difficult or you want to practice your skills on another one, give it a go on any one of these too!What divided by 56 equals 18?2 divided by what equals 70?What is 5/19 divided by 52?What is 4/18 divided by 8/9?What is 51 divided by 20/12?