Compare 4/15 and 81/8
1st number: 4/15, 2nd number: 10 1/8
4/15 is smaller than 81/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 8 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 15 × 8 = 120,
4/15 = 4 × 8/15 × 8 = 32/120 - Likewise, for the 2nd fraction, since 8 × 15 = 120,
81/8 = 81 × 15/8 × 15 = 1215/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 32/120 < 1215/120 or 4/15 < 81/8
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