Compare 15/40 and 15/7
1st number: 15/40, 2nd number: 2 1/7
15/40 is smaller than 15/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 7 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 40 × 7 = 280,
15/40 = 15 × 7/40 × 7 = 105/280 - Likewise, for the 2nd fraction, since 7 × 40 = 280,
15/7 = 15 × 40/7 × 40 = 600/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 105/280 < 600/280 or 15/40 < 15/7
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