Convert the Fraction 7.38/10 into a Percentage

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

Percentage means 'per hundred'! When you multiply by 100, you're showing how many parts out of 100. So $ \frac{7.38}{10} = 0.738 $ becomes 73.8 parts out of 100, or 73.8%.

Q: What if the numerator is bigger than the denominator?

No problem! You'll get a percentage greater than 100%. For example, $ \frac{15}{10} = 1.5 \times 100 = 150% $. This just means more than the whole amount.

Q: Can I simplify the fraction first before converting?

You can, but it's not necessary! $ \frac{7.38}{10} $ is already in a form that's easy to work with. Sometimes keeping decimals makes the calculation simpler.

Q: How do I check if 73.8% is correct?

Convert back to decimal: 73.8% ÷ 100 = 0.738. Then check if $ \frac{7.38}{10} = 0.738 $. Since 7.38 ÷ 10 = 0.738, your answer is correct!

Fraction to Percentage with Decimal Numerators

Convert the fraction into a percentage:

$\frac{7.38}{10}=\text{?}$

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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)

00:12 Apply this formula to our exercise

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

00:34 Proceed to calculate

00:42 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:

$\frac{7.38}{10}=\text{?}$

Step-by-step solution

To convert the fraction $\frac{7.38}{10}$ to a percentage, we carry out the following steps:

Step 1: Identify the given fraction, which is $\frac{7.38}{10}$ .
Step 2: Use the formula for converting fractions to percentages: $\left(\frac{\text{Numerator}}{\text{Denominator}}\right) \times 100\%$ .
Step 3: Apply the values from the fraction to the formula: $\left(\frac{7.38}{10}\right) \times 100\%$ .
Step 4: Perform the calculation: $\left(0.738\right) \times 100 = 73.8\%$ .

Therefore, the fraction $\frac{7.38}{10}$ is equivalent to 73.8%.

Final Answer

73.8%

Key Points to Remember

Essential concepts to master this topic

Formula: Multiply fraction by 100% to convert to percentage
Technique: $\frac{7.38}{10} \times 100 = 0.738 \times 100 = 73.8%$
Check: Verify 73.8% = 0.738 as decimal equals original fraction ✓

Common Mistakes

Avoid these frequent errors

Forgetting to multiply by 100
Don't just divide 7.38 ÷ 10 = 0.738 and call it done! This gives you the decimal form, not the percentage. The percentage is 0.738%, which is wrong. Always multiply the decimal result by 100 to get the correct 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?

Percentage means 'per hundred'! When you multiply by 100, you're showing how many parts out of 100. So $\frac{7.38}{10} = 0.738$ becomes 73.8 parts out of 100, or 73.8%.

What if the numerator is bigger than the denominator?

No problem! You'll get a percentage greater than 100%. For example, $\frac{15}{10} = 1.5 \times 100 = 150%$ . This just means more than the whole amount.

Can I simplify the fraction first before converting?

You can, but it's not necessary! $\frac{7.38}{10}$ is already in a form that's easy to work with. Sometimes keeping decimals makes the calculation simpler.

How do I check if 73.8% is correct?

Convert back to decimal: 73.8% ÷ 100 = 0.738. Then check if $\frac{7.38}{10} = 0.738$ . Since 7.38 ÷ 10 = 0.738, your answer is correct!

What's the fastest way to convert this type of fraction?

When the denominator is 10, 100, or 1000, it's super easy! Just move the decimal point. For $\frac{7.38}{10}$ , moving one place left gives 0.738, then multiply by 100 for 73.8%.

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