Compare 30/14 and 40/8
1st number: 2 2/14, 2nd number: 5 0/8
30/14 is smaller than 40/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 8 is 56
Next, find the equivalent fraction of both fractional numbers with denominator 56 - For the 1st fraction, since 14 × 4 = 56,
30/14 = 30 × 4/14 × 4 = 120/56 - Likewise, for the 2nd fraction, since 8 × 7 = 56,
40/8 = 40 × 7/8 × 7 = 280/56 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 120/56 < 280/56 or 30/14 < 40/8
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