Compare 1/14 and 40/49
1/14 is smaller than 40/49
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,
1/14 = 1 × 7/14 × 7 = 7/98 - Likewise, for the 2nd fraction, since 49 × 2 = 98,
40/49 = 40 × 2/49 × 2 = 80/98 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 7/98 < 80/98 or 1/14 < 40/49
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