Compare 15/8 and 40/30
1st number: 1 7/8, 2nd number: 1 10/30
15/8 is greater than 40/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 30 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 8 × 15 = 120,
15/8 = 15 × 15/8 × 15 = 225/120 - Likewise, for the 2nd fraction, since 30 × 4 = 120,
40/30 = 40 × 4/30 × 4 = 160/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 225/120 > 160/120 or 15/8 > 40/30
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