Compare 3/7 and 21/36
3/7 is smaller than 21/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 36 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 7 × 36 = 252,
3/7 = 3 × 36/7 × 36 = 108/252 - Likewise, for the 2nd fraction, since 36 × 7 = 252,
21/36 = 21 × 7/36 × 7 = 147/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 108/252 < 147/252 or 3/7 < 21/36
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