Compare 2/7 and 21/72
2/7 is smaller than 21/72
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 72 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 7 × 72 = 504,
2/7 = 2 × 72/7 × 72 = 144/504 - Likewise, for the 2nd fraction, since 72 × 7 = 504,
21/72 = 21 × 7/72 × 7 = 147/504 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 144/504 < 147/504 or 2/7 < 21/72
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