3/5 of a number is 48. work out the number. can you make it simple for me to understand

Sure! Let's work through this step by step.

### Problem:
You're told that \( \frac{3}{5} \) of a number is 48. We need to find out what that number is.

### Step 1: Set up the equation
Let the unknown number be \( x \).

According to the problem:
\[
\frac{3}{5} \times x = 48
\]

### Step 2: Isolate the unknown \( x \)
To find \( x \), you need to get rid of the fraction \( \frac{3}{5} \) that's multiplied by \( x \). You can do this by dividing both sides of the equation by \( \frac{3}{5} \).

Dividing by a fraction is the same as multiplying by its reciprocal (flip the fraction):
\[
x = 48 \times \frac{5}{3}
\]

### Step 3: Calculate the value
Now, multiply 48 by \( \frac{5}{3} \):
\[
x = 48 \times \frac{5}{3} = \frac{48 \times 5}{3} = \frac{240}{3} = 80
\]

So, the number is 80.

### Summary:
If \( \frac{3}{5} \) of a number is 48, the number itself is 80.

Do you have any questions, or would you like more details? Here are five related questions you might consider:

1. How would you solve it if \( \frac{4}{7} \) of a number was given?
2. What if the fraction was \( \frac{2}{3} \) instead of \( \frac{3}{5} \)?
3. Can you solve a similar problem with decimals instead of fractions?
4. What happens if we know that 48 is \( \frac{2}{3} \) of the number?
5. How would you set up an equation if the problem involved a percentage?

**Tip:** When dealing with fractions, remember that multiplying by the reciprocal is a key technique to isolate the variable.

Learn how to find a number when 3/5 of it equals 48 with a detailed step-by-step solution. This problem involves fractions, equations, and basic multiplication and division. Suitable for students in Grades 6-8.

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