ACT Math · Number operations and exponents
The repeating decimal 0.63 (63 repeating) is equivalent to which fraction?
The repeating decimal (63 repeating) is equivalent to which fraction?
Answer and explanation
Answer: D: 63/99
A two-digit repeating block over 99 gives the exact fraction: 0.636363...=63/99, which reduces to 7/11. Choice A treats the decimal as terminating instead of repeating, using 100 as the denominator. Choice B approximates the repeating pattern as 2/3=0.666..., which is close but not equal to 0.636363... Choice C misplaces the decimal point, giving a value roughly one-tenth the size of the true value.
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