Compare 12/49 and 21/45
12/49 is smaller than 21/45
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,
12/49 = 12 × 45/49 × 45 = 540/2205 - Likewise, for the 2nd fraction, since 45 × 49 = 2205,
21/45 = 21 × 49/45 × 49 = 1029/2205 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 540/2205 < 1029/2205 or 12/49 < 21/45
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