Compare 2/7 and 24/36
2/7 is smaller than 24/36
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,
2/7 = 2 × 36/7 × 36 = 72/252 - Likewise, for the 2nd fraction, since 36 × 7 = 252,
24/36 = 24 × 7/36 × 7 = 168/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 72/252 < 168/252 or 2/7 < 24/36
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