Compare 15/40 and 90/75
1st number: 15/40, 2nd number: 1 15/75
15/40 is smaller than 90/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 75 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 40 × 15 = 600,
15/40 = 15 × 15/40 × 15 = 225/600 - Likewise, for the 2nd fraction, since 75 × 8 = 600,
90/75 = 90 × 8/75 × 8 = 720/600 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 225/600 < 720/600 or 15/40 < 90/75
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