Compare 10/27 and 16/40
10/27 is smaller than 16/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 40 is 1080
Next, find the equivalent fraction of both fractional numbers with denominator 1080 - For the 1st fraction, since 27 × 40 = 1080,
10/27 = 10 × 40/27 × 40 = 400/1080 - Likewise, for the 2nd fraction, since 40 × 27 = 1080,
16/40 = 16 × 27/40 × 27 = 432/1080 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 400/1080 < 432/1080 or 10/27 < 16/40
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