Convert 16% to Its Decimal and Fraction Equivalents

The percentage 16% is equal to:

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Step-by-step video solution

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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 The percentage equals a fraction where the numerator is the percentage (X) and the denominator is 100
00:25 Breakdown 16 into factors of 4 and 4, and 100 into factors of 4 and 25
00:28 Reduce wherever possible
00:32 This is the solution

Step-by-step written solution

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1

Understand the problem

The percentage 16% is equal to:

2

Step-by-step solution

To solve this problem, we will convert the percentage 16% into a fraction:

Step 1: Recognize that percentages are out of 100. Thus, 16% is equal to 16100\frac{16}{100}.

Step 2: Simplify the fraction 16100\frac{16}{100} to its lowest terms. To do this, find the greatest common divisor (GCD) of 16 and 100.

The GCD of 16 and 100 is 4.

Step 3: Divide both the numerator and the denominator by the GCD:

16÷4100÷4=425\frac{16 \div 4}{100 \div 4} = \frac{4}{25}

Thus, the fraction equivalent of 16% is 425\frac{4}{25}.

Therefore, the correct choice from the options provided is 425\frac{4}{25}, which corresponds to choice (3).

3

Final Answer

425 \frac{4}{25}

Practice Quiz

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Convert the fraction into a percentage:

\( \frac{24}{100}=\text{?} \)

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