Compare 60/30 and 81/40
1st number: 2 0/30, 2nd number: 2 1/40
60/30 is smaller than 81/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 40 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 30 × 4 = 120,
60/30 = 60 × 4/30 × 4 = 240/120 - Likewise, for the 2nd fraction, since 40 × 3 = 120,
81/40 = 81 × 3/40 × 3 = 243/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 240/120 < 243/120 or 60/30 < 81/40
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