Compare 4/14 and 9/49
4/14 is greater than 9/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 49 is 98
Next, find the equivalent fraction of both fractional numbers with denominator 98 - For the 1st fraction, since 14 × 7 = 98,
4/14 = 4 × 7/14 × 7 = 28/98 - Likewise, for the 2nd fraction, since 49 × 2 = 98,
9/49 = 9 × 2/49 × 2 = 18/98 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 28/98 > 18/98 or 4/14 > 9/49
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