Compare 10/14 and 30/36
10/14 is smaller than 30/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 36 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 14 × 18 = 252,
10/14 = 10 × 18/14 × 18 = 180/252 - Likewise, for the 2nd fraction, since 36 × 7 = 252,
30/36 = 30 × 7/36 × 7 = 210/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 180/252 < 210/252 or 10/14 < 30/36
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