Compare 1/48 and 45/49
1/48 is smaller than 45/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 48 and 49 is 2352
Next, find the equivalent fraction of both fractional numbers with denominator 2352 - For the 1st fraction, since 48 × 49 = 2352,
1/48 = 1 × 49/48 × 49 = 49/2352 - Likewise, for the 2nd fraction, since 49 × 48 = 2352,
45/49 = 45 × 48/49 × 48 = 2160/2352 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 49/2352 < 2160/2352 or 1/48 < 45/49
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