Q:

9 Divided by What Equals 46?

Accepted Solution

A:
9 Divided by What Equals 46?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 9 by to equal 46?Solving 9 Divided by What Equals 46Here’s how you would set up this question as an equation:9x=46\frac{9}{x} = 46x9​=46The 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 9:9=46∗x9 = 46*x9=46∗xThen we can isolate x on the right side of the equation by dividing both sides by 46:946=x\frac{9}{46} = x469​=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=0.196x = 0.196x=0.196Practice 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 8 equals 91?98 divided by what equals 56?What is 11/14 divided by 45?What is 13/8 divided by 12/1?What is 12 divided by 7/18?