Compare 75/40 and 30/81
1st number: 1 35/40, 2nd number: 30/81
75/40 is greater than 30/81
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 81 is 3240
Next, find the equivalent fraction of both fractional numbers with denominator 3240 - For the 1st fraction, since 40 × 81 = 3240,
75/40 = 75 × 81/40 × 81 = 6075/3240 - Likewise, for the 2nd fraction, since 81 × 40 = 3240,
30/81 = 30 × 40/81 × 40 = 1200/3240 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 6075/3240 > 1200/3240 or 75/40 > 30/81
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