Convert 35/74 to a Percentage: Step-by-Step Solution

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

A percentage means 'per hundred', so you need to express your decimal as parts out of 100. Multiplying by 100 converts 0.473 to 47.3 parts out of 100, which is 47.3%.

Q: How many decimal places should I round to?

Usually one decimal place is sufficient for percentages. So $ \frac{35}{74} = 0.47297... $ becomes 47.3% when rounded to one decimal place.

Q: What if the fraction is improper like 80/74?

The same method works! $ \frac{80}{74} \times 100\% $ gives you a percentage greater than 100%, which is perfectly valid.

Q: How can I check if 47.3% is reasonable?

Think: 35 is less than half of 74, so the percentage should be less than 50%. Since 47.3%

Fraction to Percentage with Division Rounding

Calculate 35 over 74 as a percentage:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Calculate 35 as a percentage of 74

00:03 Apply the formula for finding percentages

00:07 Divide the number by the original number and proceed to multiply by 100

00:12 Break down 100 into factors of 50 and 2

00:18 Break down 74 into factors of 37 and 2, and simplify wherever possible

00:24 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Calculate 35 over 74 as a percentage:

Step-by-step solution

To solve this problem, the goal is to express the fraction $\frac{35}{74}$ as a percentage.

We follow these steps:

Step 1: Apply the formula for converting a fraction to a percentage:

$\text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100\% = \left(\frac{35}{74}\right) \times 100\%$

Step 2: Compute the value:

$\frac{35}{74} \approx 0.47297$

Now multiply by 100 to convert this decimal to a percentage: $0.47297 \times 100 \approx 47.297$

Rounding to one decimal place gives us $47.3\%$ .

Final Answer

47.3%

Key Points to Remember

Essential concepts to master this topic

Formula: Multiply fraction by 100% to convert to percentage
Technique: Calculate $\frac{35}{74} = 0.47297$ then multiply by 100
Check: Verify 47.3% = 0.473, and 0.473 × 74 ≈ 35 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to multiply by 100
Don't just divide 35 ÷ 74 = 0.473 and call it 0.473%! This gives a percentage that's 100 times too small. Always multiply the decimal result by 100 to get the correct percentage.

Practice Quiz

Test your knowledge with interactive questions

Calculate 15% of 100:

FAQ

Everything you need to know about this question

Why do I multiply by 100 to get a percentage?

A percentage means 'per hundred', so you need to express your decimal as parts out of 100. Multiplying by 100 converts 0.473 to 47.3 parts out of 100, which is 47.3%.

How many decimal places should I round to?

Usually one decimal place is sufficient for percentages. So $\frac{35}{74} = 0.47297...$ becomes 47.3% when rounded to one decimal place.

Can I use long division instead of a calculator?

Yes! Divide 35 by 74 using long division. You'll get 0.472... which becomes 47.2% or 47.3% depending on how far you calculate.

What if the fraction is improper like 80/74?

The same method works! $\frac{80}{74} \times 100\%$ gives you a percentage greater than 100%, which is perfectly valid.

How can I check if 47.3% is reasonable?

Think: 35 is less than half of 74, so the percentage should be less than 50%. Since 47.3% < 50%, this makes sense!

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