Q:

77 Divided by What Equals 31?

Accepted Solution

A:
77 Divided by What Equals 31?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 77 by to equal 31?Solving 77 Divided by What Equals 31Here’s how you would set up this question as an equation:77x=31\frac{77}{x} = 31x77​=31The 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 77:77=31∗x77 = 31*x77=31∗xThen we can isolate x on the right side of the equation by dividing both sides by 31:7731=x\frac{77}{31} = x3177​=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=2.484x = 2.484x=2.484Practice 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 4 equals 32?88 divided by what equals 78?What is 2/13 divided by 23?What is 8/15 divided by 4/3?What is 42 divided by 1/19?