Compare 40/25 and 49/14
1st number: 1 15/25, 2nd number: 3 7/14
40/25 is smaller than 49/14
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 14 is 350
Next, find the equivalent fraction of both fractional numbers with denominator 350 - For the 1st fraction, since 25 × 14 = 350,
40/25 = 40 × 14/25 × 14 = 560/350 - Likewise, for the 2nd fraction, since 14 × 25 = 350,
49/14 = 49 × 25/14 × 25 = 1225/350 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 560/350 < 1225/350 or 40/25 < 49/14
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