Compare 8/42 and 30/36
8/42 is smaller than 30/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 36 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 42 × 6 = 252,
8/42 = 8 × 6/42 × 6 = 48/252 - 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
- 48/252 < 210/252 or 8/42 < 30/36
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