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What is the 3/8 when converted into percentage?Responses100%100%3.75%3.75%37.5%37.5%.375%.375%

Question

What is the 3/8 when converted into percentage?

Responses:
100%
100%
3.75%
3.75%
37.5%
37.5%
.375%
.375%

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Solution

Step 1: Break Down the Problem

We need to convert the fraction 38 \frac{3}{8} into a percentage. This involves two main steps: first converting the fraction to a decimal, and then converting the decimal to a percentage.

Step 2: Relevant Concepts

To convert a fraction to a percentage, use the formula:

Percentage=(Fraction1)×100 \text{Percentage} = \left(\frac{ \text{Fraction} }{1}\right) \times 100

Step 3: Analysis and Detail

  1. Convert the fraction 38 \frac{3}{8} into a decimal: 38=0.375 \frac{3}{8} = 0.375

  2. Convert the decimal 0.375 0.375 into a percentage: 0.375×100=37.5% 0.375 \times 100 = 37.5\%

Step 4: Verify and Summarize

The calculation is straightforward and can be verified. The decimal conversion is accurate, and multiplying by 100 correctly yields the percentage.

Final Answer

The percentage representation of 38 \frac{3}{8} is 37.5% 37.5\% .

This problem has been solved

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