Compare 1/45 and 42/49
1/45 is smaller than 42/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 49 is 2205
Next, find the equivalent fraction of both fractional numbers with denominator 2205 - For the 1st fraction, since 45 × 49 = 2205,
1/45 = 1 × 49/45 × 49 = 49/2205 - Likewise, for the 2nd fraction, since 49 × 45 = 2205,
42/49 = 42 × 45/49 × 45 = 1890/2205 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 49/2205 < 1890/2205 or 1/45 < 42/49
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