Compare 8/49 and 30/45
8/49 is smaller than 30/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 45 is 2205
Next, find the equivalent fraction of both fractional numbers with denominator 2205 - For the 1st fraction, since 49 × 45 = 2205,
8/49 = 8 × 45/49 × 45 = 360/2205 - Likewise, for the 2nd fraction, since 45 × 49 = 2205,
30/45 = 30 × 49/45 × 49 = 1470/2205 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 360/2205 < 1470/2205 or 8/49 < 30/45
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