Compare 12/14 and 40/25
1st number: 12/14, 2nd number: 1 15/25
12/14 is smaller than 40/25
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 25 is 350
Next, find the equivalent fraction of both fractional numbers with denominator 350 - For the 1st fraction, since 14 × 25 = 350,
12/14 = 12 × 25/14 × 25 = 300/350 - Likewise, for the 2nd fraction, since 25 × 14 = 350,
40/25 = 40 × 14/25 × 14 = 560/350 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 300/350 < 560/350 or 12/14 < 40/25
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