Convert 7.9/10 to a Percentage: Step-by-Step Guide

Q: Why do I need to divide 7.9 by 10 first?

You need to evaluate the fraction to get its decimal value. Think of $ \frac{7.9}{10} $ as 7.9 ÷ 10 = 0.79. This decimal represents the same value as the fraction.

Q: Can I convert directly without finding the decimal?

Yes! You can multiply the entire fraction by 100: $ \frac{7.9}{10} \times 100 = \frac{7.9 \times 100}{10} = \frac{790}{10} = 79\% $. Both methods give the same answer!

Q: How do I know 79% is reasonable for this fraction?

Since $ \frac{7.9}{10} $ is close to $ \frac{8}{10} $ (which equals 80%), an answer of 79% makes perfect sense. Always estimate to check reasonableness!

Q: What does the % symbol actually mean?

The % symbol means "per hundred" or "out of 100". So 79% means 79 out of every 100, which equals $ \frac{79}{100} = 0.79 $.

Decimal Fraction Conversion with Percentage Form

Convert the fraction into a percentage:

$\frac{7.9}{10}=\text{?}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Convert fractions to percentages

00:05 A fraction with a denominator equal to 100 equals the numerator in percentage form(X)

00:10 Apply this formula to our exercise

00:20 Multiply both the numerator and denominator by 10 to obtain a denominator equal to 100

00:30 Proceed to calculate

00:40 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Convert the fraction into a percentage:

$\frac{7.9}{10}=\text{?}$

Step-by-step solution

To solve this problem, we need to convert the fraction $\frac{7.9}{10}$ into a percentage.
The approach involves multiplying the fraction by 100 to express it as a percentage.

Step 1: Evaluate the given fraction $\frac{7.9}{10}$ .

First, perform the division in the fraction: $\frac{7.9}{10} = 0.79$ .

Step 2: Convert the decimal to a percentage.

To convert the decimal to a percentage, multiply it by 100:
$0.79 \times 100 = 79$ .

Therefore, $\frac{7.9}{10}$ as a percentage is $79\%$ .

Since the multiple-choice answer that matches this result is option 3, which is 79%, this is the correct choice.

Final Answer

79%

Key Points to Remember

Essential concepts to master this topic

Rule: Converting fractions to percentages requires multiplying by 100
Technique: First simplify $\frac{7.9}{10} = 0.79$ , then multiply by 100
Check: Verify that 79% equals 0.79 when divided by 100 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to multiply by 100 after getting the decimal
Don't stop at 0.79 thinking that's your percentage = wrong unit! The decimal 0.79 is not the same as 79%. Always multiply the decimal result by 100 to convert to percentage form.

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 do I need to divide 7.9 by 10 first?

You need to evaluate the fraction to get its decimal value. Think of $\frac{7.9}{10}$ as 7.9 ÷ 10 = 0.79. This decimal represents the same value as the fraction.

Can I convert directly without finding the decimal?

Yes! You can multiply the entire fraction by 100: $\frac{7.9}{10} \times 100 = \frac{7.9 \times 100}{10} = \frac{790}{10} = 79\%$ . Both methods give the same answer!

What if the denominator isn't 10?

The process is the same! Divide the numerator by the denominator to get a decimal, then multiply by 100. For example: $\frac{3}{8} = 0.375 = 37.5\%$ .

How do I know 79% is reasonable for this fraction?

Since $\frac{7.9}{10}$ is close to $\frac{8}{10}$ (which equals 80%), an answer of 79% makes perfect sense. Always estimate to check reasonableness!

What does the % symbol actually mean?

The % symbol means "per hundred" or "out of 100". So 79% means 79 out of every 100, which equals $\frac{79}{100} = 0.79$ .

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