Compare 45/42 and 21/49
1st number: 1 3/42, 2nd number: 21/49
45/42 is greater than 21/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 49 is 294
Next, find the equivalent fraction of both fractional numbers with denominator 294 - For the 1st fraction, since 42 × 7 = 294,
45/42 = 45 × 7/42 × 7 = 315/294 - Likewise, for the 2nd fraction, since 49 × 6 = 294,
21/49 = 21 × 6/49 × 6 = 126/294 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 315/294 > 126/294 or 45/42 > 21/49
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