## Introduction

Have you ever come across a mathematical problem that seems difficult to solve? One such problem is determining what number is 150 of 32. In this blog post, we will explore this problem in detail and provide you with a solution that is easy to understand.

## Understanding Fractions

Before we dive into the problem, let’s review some basic concepts of fractions. A fraction is a part of a whole number. It is represented by two numbers separated by a slash. The number on the top is called the numerator, and the number at the bottom is called the denominator. For example, 1/2, 2/3, and 3/4 are all examples of fractions. The numerator represents the number of parts we have, and the denominator represents the total number of parts that make up the whole.

## What is 150 of 32?

When we say “what number is 150 of 32,” we are asking what fraction of 32 equals 150. In other words, we are trying to find the numerator that, when divided by 32, equals 150. To solve this problem, we can use cross-multiplication. We multiply the numerator of one fraction by the denominator of the other fraction and set them equal to each other. For example, if we have the fractions a/b and c/d, we can write: a/d = c/b Then we can cross-multiply to get: a * b = c * d

## Using Cross-Multiplication

Now, let’s apply cross-multiplication to our problem. We want to find the numerator that, when divided by 32, equals 150. We can write this as: x/32 = 150/1 To solve for x, we can cross-multiply: x * 1 = 32 * 150 x = 4800 Therefore, the answer to the question “what number is 150 of 32” is 4800.

## Converting to a Mixed Number

We can also express our answer as a mixed number. A mixed number is a whole number and a fraction combined. To convert a fraction to a mixed number, we divide the numerator by the denominator. In our case, the fraction 4800/32 can be simplified to 150/1. We can divide 150 by 32 to get: 4 with a remainder of 22 Therefore, 4800/32 is equal to 4 and 22/32. We can simplify the fraction by dividing both the numerator and denominator by 2: 4 and 11/16

## Conclusion

In this blog post, we explored the problem of “what number is 150 of 32” and provided a solution using cross-multiplication. We also demonstrated how to convert the answer to a mixed number. We hope this post has helped you understand this problem better and given you the tools to solve similar problems in the future.