Compare 35/72 and 49/21
1st number: 35/72, 2nd number: 2 7/21
35/72 is smaller than 49/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 72 and 21 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 72 × 7 = 504,
35/72 = 35 × 7/72 × 7 = 245/504 - Likewise, for the 2nd fraction, since 21 × 24 = 504,
49/21 = 49 × 24/21 × 24 = 1176/504 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 245/504 < 1176/504 or 35/72 < 49/21
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