Compare 21/70 and 35/49
21/70 is smaller than 35/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 49 is 490
Next, find the equivalent fraction of both fractional numbers with denominator 490 - For the 1st fraction, since 70 × 7 = 490,
21/70 = 21 × 7/70 × 7 = 147/490 - Likewise, for the 2nd fraction, since 49 × 10 = 490,
35/49 = 35 × 10/49 × 10 = 350/490 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 147/490 < 350/490 or 21/70 < 35/49
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