Compare 14/15 and 40/8
1st number: 14/15, 2nd number: 5 0/8
14/15 is smaller than 40/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 8 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 15 × 8 = 120,
14/15 = 14 × 8/15 × 8 = 112/120 - Likewise, for the 2nd fraction, since 8 × 15 = 120,
40/8 = 40 × 15/8 × 15 = 600/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 112/120 < 600/120 or 14/15 < 40/8
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