Compare 27/40 and 90/7
1st number: 27/40, 2nd number: 12 6/7
27/40 is smaller than 90/7
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,
27/40 = 27 × 7/40 × 7 = 189/280 - Likewise, for the 2nd fraction, since 7 × 40 = 280,
90/7 = 90 × 40/7 × 40 = 3600/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 189/280 < 3600/280 or 27/40 < 90/7
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