Convert Fraction to Percentage: Solving 3.3/10 Step-by-Step

Convert the fraction 3.310 \frac{3.3}{10} into a percentage.

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Step-by-step video solution

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00:05 Let's change fractions into percentages.
00:10 To do this, make the bottom number, or denominator, 100.
00:15 Whatever number is on top is your percentage.
00:20 Now, let's use this in an example.
00:25 Multiply both the top and bottom by 10 to get the bottom to 100.
00:30 Let's calculate and find the answer.
00:45 And there you have it! That's our solution.

Step-by-step written solution

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1

Understand the problem

Convert the fraction 3.310 \frac{3.3}{10} into a percentage.

2

Step-by-step solution

When we have a fraction whose denominator is not 100, we will have to convert it to 100

That is:

10×10=100 10\times10=100

Now we also multiply the numerator by 10:

3.3×1010×10=33100 \frac{3.3\times10}{10\times10}=\frac{33}{100}

Now we use the formula:

x100=x% \frac{x}{100}=x\%

33100=33% \frac{33}{100}=33\%

3

Final Answer

33%

Practice Quiz

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Convert the fraction into a percentage:

\( \frac{2}{100}=\text{?} \)

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