Compare 3/14 and 40/35
1st number: 3/14, 2nd number: 1 5/35
3/14 is smaller than 40/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 35 is 70
Next, find the equivalent fraction of both fractional numbers with denominator 70 - For the 1st fraction, since 14 × 5 = 70,
3/14 = 3 × 5/14 × 5 = 15/70 - Likewise, for the 2nd fraction, since 35 × 2 = 70,
40/35 = 40 × 2/35 × 2 = 80/70 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 15/70 < 80/70 or 3/14 < 40/35
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