Convert 7/10 to a Percentage: Master This Essential Math Skill

Q: Why do I multiply by 100 to get a percentage?

Because percent means "per hundred"! When you multiply $ \frac{7}{10} $ by 100, you're finding how many parts out of 100 this fraction represents.

Q: Can I convert to decimal first, then to percentage?

Absolutely! First convert: $ \frac{7}{10} = 0.7 $, then multiply by 100: 0.7 × 100 = 70%. Both methods work perfectly!

Q: What if my fraction doesn't have 10 in the denominator?

No problem! The same rule applies. For example: $ \frac{3}{4} \times 100 = 75% $. Just multiply any fraction by 100 to get the percentage.

Q: How do I check if 70% is correct?

Convert back! 70% = 70/100 = 7/10 ✓ Or use decimals: 70% = 0.70 = $ \frac{7}{10} $ ✓

Q: Is there a shortcut for fractions with denominator 10?

Yes! For tenths like $ \frac{7}{10} $, just multiply the numerator by 10: 7 × 10 = 70%. This works because 10 × 10 = 100!

Fraction to Percentage with Decimal Conversion

Convert the following fraction into a percentage:

$\frac{7}{10}=\text{?}$

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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 denominator equal to 100 equals the numerator in percentage form (X)

00:12 Apply this formula to our exercise

00:17 Multiply both the numerator and denominator by 10 to obtain a denominator equal to 100

00:28 Proceed to calculate

00:36 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Convert the following fraction into a percentage:

$\frac{7}{10}=\text{?}$

Step-by-step solution

To solve this problem, we'll convert the fraction $\frac{7}{10}$ to a percentage by performing the following steps:

Step 1: Identify the fraction given, which is $\frac{7}{10}$ .
Step 2: Use the percentage conversion method, where the fraction is multiplied by 100.
Step 3: Compute $\frac{7}{10} \times 100$ .

Let's work through the calculation in detail:

Step 1: We have $\frac{7}{10}$ .

Step 2: Convert this fraction to a percentage by multiplying by 100:

$\frac{7}{10} \times 100 = 70$

Step 3: The result 70 represents 70% because we multiplied by 100 to convert the fraction to a percentage.

Therefore, the fraction $\frac{7}{10}$ expressed as a percentage is 70%.

Final Answer

70%

Key Points to Remember

Essential concepts to master this topic

Rule: Multiply any fraction by 100 to convert to percentage
Technique: Calculate $\frac{7}{10} \times 100 = 70$ directly
Check: Verify 70% = 0.70 = $\frac{7}{10}$ ✓

Common Mistakes

Avoid these frequent errors

Dividing instead of multiplying by 100
Don't divide 7 ÷ 10 ÷ 100 = 0.07! This gives you a decimal much smaller than the original fraction. Always multiply the fraction by 100 to convert to percentage.

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 multiply by 100 to get a percentage?

Because percent means "per hundred"! When you multiply $\frac{7}{10}$ by 100, you're finding how many parts out of 100 this fraction represents.

Can I convert to decimal first, then to percentage?

Absolutely! First convert: $\frac{7}{10} = 0.7$ , then multiply by 100: 0.7 × 100 = 70%. Both methods work perfectly!

What if my fraction doesn't have 10 in the denominator?

No problem! The same rule applies. For example: $\frac{3}{4} \times 100 = 75%$ . Just multiply any fraction by 100 to get the percentage.

How do I check if 70% is correct?

Convert back! 70% = 70/100 = 7/10 ✓ Or use decimals: 70% = 0.70 = $\frac{7}{10}$ ✓

Is there a shortcut for fractions with denominator 10?

Yes! For tenths like $\frac{7}{10}$ , just multiply the numerator by 10: 7 × 10 = 70%. This works because 10 × 10 = 100!

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