Compare 45/12 and 40/10
1st number: 3 9/12, 2nd number: 4 0/10
45/12 is smaller than 40/10
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 10 is 60
Next, find the equivalent fraction of both fractional numbers with denominator 60 - For the 1st fraction, since 12 × 5 = 60,
45/12 = 45 × 5/12 × 5 = 225/60 - Likewise, for the 2nd fraction, since 10 × 6 = 60,
40/10 = 40 × 6/10 × 6 = 240/60 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 225/60 < 240/60 or 45/12 < 40/10
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