Compare 4/21 and 10/49
4/21 is smaller than 10/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 49 is 147
Next, find the equivalent fraction of both fractional numbers with denominator 147 - For the 1st fraction, since 21 × 7 = 147,
4/21 = 4 × 7/21 × 7 = 28/147 - Likewise, for the 2nd fraction, since 49 × 3 = 147,
10/49 = 10 × 3/49 × 3 = 30/147 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 28/147 < 30/147 or 4/21 < 10/49
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