Converting representations

Convert fractions, decimals, and percentages as representations of the same ratio.

Meaning

Fractions, decimals, and percentages can represent the same ratio using different notation. Changing the representation preserves the ratio's value.

Example

For a total of 10, all three represent a comparison amount of 6.Multiplying numerator and denominator by 2 gives ; multiplying by 20 gives These count the same ratio in tenths and hundredths.0.6% is 0.006, not 0.6. The percent sign means one hundredth.

Practice for this concept

Scope and references

Topics

Fractions ↔ decimals ↔ percentages, simplifying ratios

Learning goal

Convert fractions, decimals, and percentages as representations of the same ratio.

Helpful background

Connect fraction denominators, decimal place values, and the 100 in percentages.

Converting decimals to percentages

Does not cover every direction of conversion among fractions, decimals, and percentages.

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