Compare 30/12 and 40/8
1st number: 2 6/12, 2nd number: 5 0/8
30/12 is smaller than 40/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 8 is 24
Next, find the equivalent fraction of both fractional numbers with denominator 24 - For the 1st fraction, since 12 × 2 = 24,
30/12 = 30 × 2/12 × 2 = 60/24 - Likewise, for the 2nd fraction, since 8 × 3 = 24,
40/8 = 40 × 3/8 × 3 = 120/24 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 60/24 < 120/24 or 30/12 < 40/8
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