Convert 7.5/10 to Percentage: Step-by-Step Math Guide

Convert the following fraction into a percentage:

7.510=? \frac{7.5}{10}=\text{?}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:07 Let's convert fractions into percentages.
00:12 If a fraction's denominator is one hundred, the numerator is the percentage.
00:19 Now, let's apply this idea to our exercise.
00:27 Multiply both the numerator and denominator by ten, to make the denominator one hundred.
00:42 Let's go ahead and calculate that.
00:52 And that's how we find the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Convert the following fraction into a percentage:

7.510=? \frac{7.5}{10}=\text{?}

2

Step-by-step solution

To solve this problem of converting the fraction 7.510\frac{7.5}{10} to a percentage, we will follow these steps:

  • Step 1: Calculate 7.5×10010\frac{7.5 \times 100}{10}.
  • Step 2: Simplify the expression 75010\frac{750}{10}.
  • Step 3: Perform the division to find the percentage.

Let's perform each calculation step by step:

Step 1:
First, multiply the numerator of the fraction by 100: 7.5×100=7507.5 \times 100 = 750.

Step 2:
Now, divide the result by the denominator: 75010=75\frac{750}{10} = 75.

Step 3:
Therefore, 7.510\frac{7.5}{10} converted to a percentage is 75%.

The correct choice from the given options is 75%.

3

Final Answer

75%

Practice Quiz

Test your knowledge with interactive questions

Convert the fraction into a percentage:

\( \frac{2}{100}=\text{?} \)

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