Compare 40/16 and 81/30
1st number: 2 8/16, 2nd number: 2 21/30
40/16 is smaller than 81/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 30 is 240
Next, find the equivalent fraction of both fractional numbers with denominator 240 - For the 1st fraction, since 16 × 15 = 240,
40/16 = 40 × 15/16 × 15 = 600/240 - Likewise, for the 2nd fraction, since 30 × 8 = 240,
81/30 = 81 × 8/30 × 8 = 648/240 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 600/240 < 648/240 or 40/16 < 81/30
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