Convert Fraction 7.88/10 to Percentage: Step-by-Step Solution

Q: Why can't I just put a % sign after 7.88?

Because $ \frac{7.88}{10} $ means 7.88 divided by 10, not just 7.88 by itself! You must do the division first: 7.88 ÷ 10 = 0.788, then convert to percentage.

Q: What's the fastest way to convert any fraction to percentage?

Follow this two-step process: 1) Divide the numerator by denominator to get a decimal, 2) Multiply that decimal by 100 and add the % symbol.

Q: How do I know if 78.8% is reasonable?

Since $ \frac{7.88}{10} $ is less than 1 whole (7.88 less than 100%. At 78.8%, this makes sense!

Q: Can I simplify the fraction before converting?

You could, but it's not necessary here. $ \frac{7.88}{10} $ is already simple to work with. Just divide 7.88 by 10 to get 0.788.

Q: What if I got 788% as my answer?

That means you multiplied by 100 before dividing by 10! Remember: first calculate $ \frac{7.88}{10} = 0.788 $, then multiply 0.788 × 100 = 78.8%.

Fraction to Percentage with Decimal Numerators

Convert the fraction $\frac{7.88}{10}$ to a percentage:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:05 Let's change fractions into percentages.

00:10 Make the denominator one hundred, then the numerator becomes your percentage.

00:16 So, your percentage is simply the top number, X.

00:21 Let's apply this formula to practice.

00:25 Multiply both top and bottom numbers by ten, to make the bottom one hundred.

00:35 Now, let's do the math and find our answer.

00:51 And that's how we solve the problem!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Convert the fraction $\frac{7.88}{10}$ to a percentage:

Step-by-step solution

To solve this problem, let's convert the given fraction into a percentage:

Step 1: Identify the given fraction, which is $\frac{7.88}{10}$ .
Step 2: Convert it to a percentage by multiplying by 100.

Let's proceed with the calculation:
First, we calculate the decimal value of the fraction:
$\frac{7.88}{10} = 0.788$ .

Next, convert this decimal to a percentage:
$0.788 \times 100 = 78.8$ .

So, the fraction $\frac{7.88}{10}$ expressed as a percentage is 78.8%.

This corresponds to choice 3 in the options provided: 78.8%.

Final Answer

78.8%

Key Points to Remember

Essential concepts to master this topic

Rule: Convert fraction to decimal first, then multiply by 100
Technique: $\frac{7.88}{10} = 0.788 \times 100 = 78.8\%$
Check: Verify 78.8% equals 0.788 as decimal form ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point incorrectly
Don't just add a % sign to get 7.88% = wrong answer! This ignores the division by 10. Always convert the fraction to decimal first (7.88 ÷ 10 = 0.788), then multiply by 100.

Practice Quiz

Test your knowledge with interactive questions

Convert the fraction into a percentage:

$\frac{2}{100}=\text{?}$

FAQ

Everything you need to know about this question

Why can't I just put a % sign after 7.88?

Because $\frac{7.88}{10}$ means 7.88 divided by 10, not just 7.88 by itself! You must do the division first: 7.88 ÷ 10 = 0.788, then convert to percentage.

What's the fastest way to convert any fraction to percentage?

Follow this two-step process: 1) Divide the numerator by denominator to get a decimal, 2) Multiply that decimal by 100 and add the % symbol.

How do I know if 78.8% is reasonable?

Since $\frac{7.88}{10}$ is less than 1 whole (7.88 < 10), the percentage should be less than 100%. At 78.8%, this makes sense!

Can I simplify the fraction before converting?

You could, but it's not necessary here. $\frac{7.88}{10}$ is already simple to work with. Just divide 7.88 by 10 to get 0.788.

What if I got 788% as my answer?

That means you multiplied by 100 before dividing by 10! Remember: first calculate $\frac{7.88}{10} = 0.788$ , then multiply 0.788 × 100 = 78.8%.

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