The ratio 4:9 equals which repeating decimal?

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Multiple Choice

The ratio 4:9 equals which repeating decimal?

Explanation:
Converting a ratio to a decimal uses the fraction form. The ratio 4:9 is 4/9. Repeating decimals come from dividing by 9: 1/9 is 0.111..., so multiplying by 4 gives 4/9 = 0.444... The long-division view matches this: 4 divided by 9 gives 0 with a remainder of 4, bringing down zeros keeps yielding 4 as the next digit, repeating forever. This pattern shows why the decimal for four ninths is 0.444... The other repeating decimals correspond to different fractions (for example, 1/3 is 0.333..., 2/3 is 0.666...), so they don’t match 4/9.

Converting a ratio to a decimal uses the fraction form. The ratio 4:9 is 4/9. Repeating decimals come from dividing by 9: 1/9 is 0.111..., so multiplying by 4 gives 4/9 = 0.444... The long-division view matches this: 4 divided by 9 gives 0 with a remainder of 4, bringing down zeros keeps yielding 4 as the next digit, repeating forever. This pattern shows why the decimal for four ninths is 0.444... The other repeating decimals correspond to different fractions (for example, 1/3 is 0.333..., 2/3 is 0.666...), so they don’t match 4/9.

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