Convert Fraction 57/10 to Percentage: Step-by-Step Solution

Q: Why is 570% bigger than 100%? That seems wrong!

That's completely normal! Improper fractions (where numerator > denominator) always give percentages over 100%. Since $ \frac{57}{10} $ equals 5.7, it makes sense that 5.7 × 100 = 570%.

Q: Can I just move the decimal point instead of multiplying by 100?

Yes, but be careful! First convert to decimal: $ \frac{57}{10} = 5.7 $, then move decimal two places right: 5.7 → 57.0 → 570%. This gives the same answer!

Q: What if I get confused about whether to multiply or divide by 100?

Remember: percentages are bigger numbers than decimals for the same value. So multiply by 100 to go from fraction/decimal to percentage, and divide by 100 to go back.

Q: Why don't I just cross-multiply here?

Cross-multiplication is for solving proportions like $ \frac{a}{b} = \frac{c}{d} $. Converting to percentage means multiplying by 100, not solving an equation. Different operations for different goals!

Fraction to Percentage with Improper Fractions

Convert the fraction $\frac{57}{10}$ to a percentage:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:04 Let's learn how to convert fractions into percentages.

00:09 First, make the denominator one hundred.

00:14 The numerator, which we'll call X, becomes your percentage.

00:19 Now, let's apply this formula to our exercise!

00:25 Multiply both the numerator and denominator by ten so the denominator becomes one hundred.

00:35 Ready to calculate? Let's do it!

00:42 And there you have it, that's the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Convert the fraction $\frac{57}{10}$ to a percentage:

Step-by-step solution

To solve this problem, we need to convert the fraction $\frac{57}{10}$ into a percentage format. We do this by multiplying the fraction by 100:

Step 1: Start with the given fraction $\frac{57}{10}$ .

Step 2: Multiply the fraction by 100 to find the percentage:

$\frac{57}{10} \times 100$

Step 3: Simplify the calculation:

$\frac{57 \times 100}{10} = \frac{5700}{10}$
Simplify the division: $\frac{5700}{10} = 570$

Thus, the fraction $\frac{57}{10}$ can be expressed as $570\%$ .

The correct answer is choice 2: 570%.

Final Answer

570%

Key Points to Remember

Essential concepts to master this topic

Rule: Multiply any fraction by 100 to convert to percentage
Technique: $\frac{57}{10} \times 100 = \frac{5700}{10} = 570\%$
Check: Convert back: 570% ÷ 100 = 5.7 = $\frac{57}{10}$ ✓

Common Mistakes

Avoid these frequent errors

Converting decimal first then multiplying by 100
Don't convert 57/10 to 5.7 then multiply by 100 to get 570! This extra step creates confusion and rounding errors. Always multiply the fraction directly by 100: (57/10) × 100 = 570%.

Practice Quiz

Test your knowledge with interactive questions

Convert the fraction $\frac{75}{100}$

to a percentage:

FAQ

Everything you need to know about this question

Why is 570% bigger than 100%? That seems wrong!

That's completely normal! Improper fractions (where numerator > denominator) always give percentages over 100%. Since $\frac{57}{10}$ equals 5.7, it makes sense that 5.7 × 100 = 570%.

Can I just move the decimal point instead of multiplying by 100?

Yes, but be careful! First convert to decimal: $\frac{57}{10} = 5.7$ , then move decimal two places right: 5.7 → 57.0 → 570%. This gives the same answer!

What if I get confused about whether to multiply or divide by 100?

Remember: percentages are bigger numbers than decimals for the same value. So multiply by 100 to go from fraction/decimal to percentage, and divide by 100 to go back.

How can I double-check my percentage answer?

Convert back! Take your percentage (570%), divide by 100 to get 5.7, then check if 5.7 = $\frac{57}{10}$ . Since $\frac{57}{10}$ = 5.7, you're correct!

Why don't I just cross-multiply here?

Cross-multiplication is for solving proportions like $\frac{a}{b} = \frac{c}{d}$ . Converting to percentage means multiplying by 100, not solving an equation. Different operations for different goals!

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