Explaining And Solving "96 Is 32 Of What Number"

GCF of 32, 56 and 96 How to Find GCF of 32, 56, 96? from www.cuemath.com

Introduction

As a professional teacher, it is important to be able to explain mathematical problems in a way that students can understand. One such problem is "96 is 32 of what number?" This problem is a ratio problem, and it can be solved using a simple formula. In this article, we will discuss how to solve this problem step by step.

Understanding Ratios

Before we can solve the problem, we need to understand what ratios are. A ratio is a comparison between two or more numbers. Ratios can be expressed in different forms, such as fractions, decimals, or percentages. In this problem, we are given a ratio of 32:96, which means that the first number is 32 and the second number is 96.

Solving the Problem

To solve the problem, we need to find the missing number in the ratio. We can do this by using a simple formula: Missing number = (Given number * Second number) / First number In this problem, the missing number is represented by "x". So, we can substitute the values we have into the formula as follows: x = (32 * 96) / 32 Simplifying this expression, we get: x = 96 Therefore, the missing number in the ratio is 96.

Explanation

To explain how we arrived at this answer, we can break down the formula we used. The formula tells us that to find the missing number in a ratio, we need to multiply the given number (32) by the second number (96), and then divide the result by the first number (32). This gives us the value of the missing number (96).

Example

To further illustrate this concept, let's look at an example. Suppose we have a ratio of 4:16, and we want to find the missing number. Using the formula, we can write: x = (4 * 16) / 4 Simplifying this expression, we get: x = 16 Therefore, the missing number in the ratio is 16.

Conclusion

In conclusion, understanding ratios and how to solve ratio problems is an important part of mathematics. To solve the problem "96 is 32 of what number?", we can use a simple formula that involves multiplying the given number by the second number and then dividing the result by the first number. This gives us the value of the missing number in the ratio. By breaking down the formula and providing an example, we can help students better understand how to solve ratio problems.