Compare 30/42 and 2/36
30/42 is greater than 2/36
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,
30/42 = 30 × 6/42 × 6 = 180/252 - Likewise, for the 2nd fraction, since 36 × 7 = 252,
2/36 = 2 × 7/36 × 7 = 14/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 180/252 > 14/252 or 30/42 > 2/36
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