Compare 40/36 and 35/30
1st number: 1 4/36, 2nd number: 1 5/30
40/36 is smaller than 35/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 30 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 36 × 5 = 180,
40/36 = 40 × 5/36 × 5 = 200/180 - Likewise, for the 2nd fraction, since 30 × 6 = 180,
35/30 = 35 × 6/30 × 6 = 210/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 200/180 < 210/180 or 40/36 < 35/30
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