Compare 30/35 and 40/36
1st number: 30/35, 2nd number: 1 4/36
30/35 is smaller than 40/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 36 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 35 × 36 = 1260,
30/35 = 30 × 36/35 × 36 = 1080/1260 - Likewise, for the 2nd fraction, since 36 × 35 = 1260,
40/36 = 40 × 35/36 × 35 = 1400/1260 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1080/1260 < 1400/1260 or 30/35 < 40/36
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