Q:

49 Divided by What Equals 31?

Accepted Solution

A:
49 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 49 by to equal 31?Solving 49 Divided by What Equals 31Here’s how you would set up this question as an equation:49x=31\frac{49}{x} = 31x49​=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 49:49=31∗x49 = 31*x49=31∗xThen we can isolate x on the right side of the equation by dividing both sides by 31:4931=x\frac{49}{31} = x3149​=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=1.581x = 1.581x=1.581Practice 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 93 equals 55?46 divided by what equals 1?What is 10/13 divided by 26?What is 8/16 divided by 14/7?What is 96 divided by 15/6?