Compare 1/3 and 48/49
1/3 is smaller than 48/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 49 is 147
Next, find the equivalent fraction of both fractional numbers with denominator 147 - For the 1st fraction, since 3 × 49 = 147,
1/3 = 1 × 49/3 × 49 = 49/147 - Likewise, for the 2nd fraction, since 49 × 3 = 147,
48/49 = 48 × 3/49 × 3 = 144/147 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 49/147 < 144/147 or 1/3 < 48/49
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