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 30 over 100 as a percentage:

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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