Turn 62.5% into a simple fraction

Question

Percentages ending in .5 often hide an eighth. Solve in your head. Write 62.5\% as a fraction in lowest terms. Aim: under 10 seconds.

Accepted Answer

Divide by the eighth-step 12.5\%: \frac{62.5}{12.5} = 5 \;\Rightarrow\; 62.5\% = 	frac{5}{8}. Check: 	frac58 = 0.625 = 62.5\%. Takeaway. When a percentage lands on a multiple of 12.5, it is an eighth: divide by 12.5 to get the numerator. 37.5\% = 	frac38, 62.5\% = 	frac58, 87.5\% = 	frac78, the "half-percent" tail is the giveaway.

Turn 62.5% into a simple fraction

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