Compare 30/36 and 16/35
30/36 is greater than 16/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 35 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 36 × 35 = 1260,
30/36 = 30 × 35/36 × 35 = 1050/1260 - Likewise, for the 2nd fraction, since 35 × 36 = 1260,
16/35 = 16 × 36/35 × 36 = 576/1260 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1050/1260 > 576/1260 or 30/36 > 16/35
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