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

Approximately what is 3470 \frac{34}{70} written as a percentage?

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Step-by-step video solution

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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

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1

Understand the problem

Approximately what is 3470 \frac{34}{70} written as a percentage?

2

Step-by-step solution

To solve this problem, we'll convert the fraction 3470 \frac{34}{70} into a percentage by following these steps:

  • Step 1: Calculate the decimal equivalent of 3470 \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 3470 \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:
0.4857×100%=48.57% 0.4857 \times 100\% = 48.57\% .

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

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

3

Final Answer

50% 50\%

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

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