Q:

32 Divided by What Equals 78?

Accepted Solution

A:
32 Divided by What Equals 78? Methods Setting 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 32 by to equal 78? Solving 32 Divided by What Equals 78 Here’s how you would set up this question as an equation: 32 x = 78 \frac{32}{x} = 78 x 32 ​ = 78 The 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 32: 32 = 78 ∗ x 32 = 78*x 32 = 78 ∗ x Then we can isolate x on the right side of the equation by dividing both sides by 78: 32 78 = x \frac{32}{78} = x 78 32 ​ = x When 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 = 0.410 x = 0.410 x = 0.410 Practice Other Division Problems Like This One If 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 11 equals 70? 46 divided by what equals 30? What is 11/5 divided by 71? What is 7/14 divided by 4/12? What is 55 divided by 8/3?