Compare 40/35 and 14/8
1st number: 1 5/35, 2nd number: 1 6/8
40/35 is smaller than 14/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 8 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 35 × 8 = 280,
40/35 = 40 × 8/35 × 8 = 320/280 - Likewise, for the 2nd fraction, since 8 × 35 = 280,
14/8 = 14 × 35/8 × 35 = 490/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 320/280 < 490/280 or 40/35 < 14/8
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