Convert Fraction to Percentage: Finding the Value of 34/70

Q: Why do I need to divide 34 by 70 first?

A fraction represents division! $ \frac{34}{70} $ means "34 divided by 70." You must do this division to find what decimal the fraction equals before converting to percentage.

Q: Can I simplify the fraction before converting?

Yes! $ \frac{34}{70} = \frac{17}{35} $ after dividing by 2. This gives the same decimal: 17 ÷ 35 = 0.4857, so you get the same percentage.

Q: What if my calculator shows 0.485714285...?

That's the exact decimal! The 714285 pattern repeats forever. For percentage problems, round to a reasonable number of decimal places like 0.4857, then multiply by 100.

Fraction to Percentage with Approximation

Approximately what is $\frac{34}{70}$ written as a percentage?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Convert approximately to percentages

00:03 Convert to the closest fraction that we can change to percentages

00:14 Break down 70 into factors 35 and 2

00:22 Reduce what we can

00:28 This is the simple fraction, now let's convert to percentages

00:34 Multiply the entire fraction by 100, and calculate the quotient

00:38 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Approximately what is $\frac{34}{70}$ written as a percentage?

Step-by-step solution

To solve this problem, we'll convert the fraction $\frac{34}{70}$ into a percentage by following these steps:

Step 1: Calculate the decimal equivalent of $\frac{34}{70}$ .
Step 2: Multiply the decimal by 100 to convert it into a percentage.

Now, let's work through each step:
Step 1: Perform the division $\frac{34}{70}$ . The result of dividing 34 by 70 is approximately 0.4857.
Step 2: Convert this decimal into a percentage by multiplying by 100:
$0.4857 \times 100\% = 48.57\%$ .

Since we want an approximate percentage from the given choices, we round $48.57\%$ to the nearest whole number, which is $50\%$ .

Therefore, the solution to the problem is $50\%$ .

Final Answer

$50\%$

Key Points to Remember

Essential concepts to master this topic

Division Rule: Divide numerator by denominator to get decimal equivalent
Conversion Method: Multiply decimal by 100: 0.4857 × 100 = 48.57%
Verification: Check by working backwards: 50% = 0.5, and 0.5 × 70 ≈ 35 ✓

Common Mistakes

Avoid these frequent errors

Converting fraction to percentage without first finding decimal
Don't try to convert $\frac{34}{70}$ directly to percentage by guessing = wrong answer like 34%! This skips the crucial division step. Always divide first to get the decimal (34 ÷ 70 = 0.4857), then multiply by 100.

Practice Quiz

Test your knowledge with interactive questions

Approximately what is $\frac{11}{50}$ written as a percentage?

FAQ

Everything you need to know about this question

Why do I need to divide 34 by 70 first?

A fraction represents division! $\frac{34}{70}$ means "34 divided by 70." You must do this division to find what decimal the fraction equals before converting to percentage.

How do I know which answer choice is closest?

Calculate the exact percentage first: 48.57%. Then compare to each choice. Since 48.57% is much closer to 50% than to 80% or 150%, choose 50%.

Can I simplify the fraction before converting?

Yes! $\frac{34}{70} = \frac{17}{35}$ after dividing by 2. This gives the same decimal: 17 ÷ 35 = 0.4857, so you get the same percentage.

What if my calculator shows 0.485714285...?

That's the exact decimal! The 714285 pattern repeats forever. For percentage problems, round to a reasonable number of decimal places like 0.4857, then multiply by 100.

How can I check my percentage answer?

Work backwards! If 50% is correct, then 50% of 70 should equal about 34. Check: $0.5 \times 70 = 35$ , which is very close to 34 ✓

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