The fraction from the ones listed below that will not lead to a recurring decimal is:
\(\frac{21}{56}\)
A fraction gives a terminating decimal only when, after reduction to lowest terms, its denominator contains no prime factors other than 2 or 5. If any other prime (here 7) remains, the decimal recurs.
Step 1 — Factorise 56 = 23 × 7.
Step 2 — Reduce each option: 20/56 = 5/14 (denom has 7, recurs), 21/56 = 3/8 (denom is 23, terminates), 15/56 stays 15/56 (7 present, recurs), 10/56 = 5/28 (28 has 7, recurs).
Step 3 — Only 21/56 reduces to a denominator free of the prime 7, so it alone gives a terminating decimal.
Hence, 21/56 is correct.
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Important Questions from Decimals
What is the result when 0.129129129… is converted to a fraction?
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