Compare 49/75 and 35/21
1st number: 49/75, 2nd number: 1 14/21
49/75 is smaller than 35/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 21 is 525
Next, find the equivalent fraction of both fractional numbers with denominator 525 - For the 1st fraction, since 75 × 7 = 525,
49/75 = 49 × 7/75 × 7 = 343/525 - Likewise, for the 2nd fraction, since 21 × 25 = 525,
35/21 = 35 × 25/21 × 25 = 875/525 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 343/525 < 875/525 or 49/75 < 35/21
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