What is \;\;\;\;\;\;\; \displaystyle\frac{2}{5} as a decimal?

Question

BlackTom AI · Accepted Answer

The question asks to convert the fraction 2/5 into a decimal.

One straightforward way is to perform the division 2 ÷ 5. Since 5 goes into 2 zero times, we place a decimal point and bring down a zero to make 20. 5 goes into 20 exactly 4 times, with no remainder. This yields 0.4 as the decimal representation.

Another way to see it is by recognizing that 2/5 = (2×2)/(5×2) = 4/10 = 0.4, using the standard fraction-to-decimal equivalence when the denominator contains only the prime factors 2 and 5, which guarantees a terminating decimal.

Additionally, you can verify by checking that 0.4 × 5 = 2, confirming the correctness of the conversion.

In this specific item, there are no answer options provided to evaluate against, so the computed decimal 0.4 stands as the direct result of converting 2/5.

My LMS Subjects Quiz 2

What is \;\;\;\;\;\;\; \displaystyle\frac{2}{5} as a decimal?

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