JAMB UTMEMathematicsNumber & Numeration

Express 3/8 as a decimal.

A0.375CORRECT
B0.38
C0.83
D0.125
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Why the answer is A, and why the others tempt you.
**The reasoning** To convert a fraction to a decimal, divide the numerator by the denominator: 3 ÷ 8. Set it up like long division: - 3.000 ÷ 8 - 8 goes into 30 three times (8 × 3 = 24), leaving 6 - Bring down the next 0 → 60 - 8 goes into 60 seven times (8 × 7 = 56), leaving 4 - Bring down the next 0 → 40 - 8 goes into 40 five times exactly (8 × 5 = 40) Result: **0.375** This is a **fraction-to-decimal conversion** using division. **Why the wrong options tempt you** **0.38** — You might round 0.375 too early or stop dividing after the first two decimal places. Always complete the division! **0.83** — This reverses the fraction (8 ÷ 3 ≈ 2.67, but someone might confuse digits). Never flip the fraction. **0.125** — This is actually 1/8, not 3/8. Careless reading of the numerator. **Quick takeaway** To convert any fraction to decimal: numerator ÷ denominator, and always divide completely until it terminates or repeats—don't stop halfway!
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