Compare 1/36 and 4/7
1/36 is smaller than 4/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 7 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 36 × 7 = 252,
1/36 = 1 × 7/36 × 7 = 7/252 - Likewise, for the 2nd fraction, since 7 × 36 = 252,
4/7 = 4 × 36/7 × 36 = 144/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 7/252 < 144/252 or 1/36 < 4/7
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