Three-sevenths of a number is 24. Find the number.

Let's solve the problem step by step.

Given that three-sevenths of a number is 24, we can set up the equation as follows:

\[
\frac{3}{7} \times \text{number} = 24
\]

To find the number, we can isolate it by multiplying both sides of the equation by the reciprocal of \(\frac{3}{7}\), which is \(\frac{7}{3}\):

\[
\text{number} = 24 \times \frac{7}{3}
\]

Now, let's calculate:

\[
\text{number} = 24 \times \frac{7}{3} = \frac{24 \times 7}{3} = \frac{168}{3} = 56
\]

So, the number is **56**.

Would you like more details or have any questions? 

Here are some related questions you might find interesting:

1. What would be five-eighths of the number 56?
2. If two-thirds of a number is 40, what is the number?
3. What is one-fourth of the number 56?
4. If a number is increased by 12 and then divided by 3, the result is 24. What is the original number?
5. How would you find a number if four-fifths of it is equal to 48?

**Tip:** When solving problems involving fractions of a number, multiplying by the reciprocal of the fraction is a key step to isolate the unknown.

Learn how to find a number when given that three-sevenths of it equals 24 with a step-by-step solution. This problem involves basic fraction equations and is suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation