49 Divided by What Equals 56?

Accepted Solution

49 Divided by What Equals 56?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 56?Solving 49 Divided by What Equals 56Here’s how you would set up this question as an equation:49x=56\frac{49}{x} = 56x49​=56The 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=56∗x49 = 56*x49=56∗xThen we can isolate x on the right side of the equation by dividing both sides by 56:4956=x\frac{49}{56} = x5649​=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=0.875x = 0.875x=0.875Practice 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 46 equals 43?81 divided by what equals 95?What is 14/17 divided by 11?What is 13/3 divided by 16/2?What is 51 divided by 19/9?