Compare 10/28 and 42/81
10/28 is smaller than 42/81
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 81 is 2268
Next, find the equivalent fraction of both fractional numbers with denominator 2268 - For the 1st fraction, since 28 × 81 = 2268,
10/28 = 10 × 81/28 × 81 = 810/2268 - Likewise, for the 2nd fraction, since 81 × 28 = 2268,
42/81 = 42 × 28/81 × 28 = 1176/2268 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 810/2268 < 1176/2268 or 10/28 < 42/81
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