Converting 30% to Its Mathematical Equivalent: Percentage Practice

The percentage 30% is equal to:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Convert from percentages to fractions
00:05 The percentage equals a fraction where the numerator is the percentage (X) and the denominator is 100
00:10 Apply this formula to our exercise
00:25 Factor 30 into 3 and 10, and 100 into 10 and 10
00:28 Reduce wherever possible
00:33 This is the solution

Step-by-step written solution

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1

Understand the problem

The percentage 30% is equal to:

2

Step-by-step solution

To solve the problem of converting 30% to its equivalent fraction, follow these steps:

  • Step 1: Convert the percentage to a fraction by placing it over 100:

30%=30100 30\% = \frac{30}{100}

  • Step 2: Simplify the fraction. Find the greatest common divisor (GCD) of 30 and 100.

Both 30 and 100 are divisible by 10. Divide the numerator and denominator by 10:

30÷10100÷10=310 \frac{30 \div 10}{100 \div 10} = \frac{3}{10}

Therefore, the percentage 30% is equivalent to the fraction 310\frac{3}{10}.

3

Final Answer

310 \frac{3}{10}

Practice Quiz

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Convert the fraction into a percentage:

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

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