Convert 1/7 to Percentage: Finding the Approximate Value

Approximately what is 17 \frac{1}{7} written as a percentage?

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1

Understand the problem

Approximately what is 17 \frac{1}{7} written as a percentage?

2

Step-by-step solution

The easiest way to convert a fraction to a percentage is to convert the denominator to 100.

However, 100 is not in the multiplication table of 7, so in this exercise, we will use an estimation.

First, we will take 7 to a close number that can be easily converted to 100 - 20.

We know that 20*5 is 100 and that 7*3=21.

Although 21 is not equal to 20, it is approximately close.

Therefore, we will first multiply the entire fraction (the numerator and the denominator) by 3 to reach the denominator of 20.

Then we multiply the denominator and the numerator by 5 to reach the denominator 100.

We will arrive at a result of 15/100, that is 15%, which is the correct answer!

3

Final Answer

15%

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

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