Compare 40/12 and 45/10
1st number: 3 4/12, 2nd number: 4 5/10
40/12 is smaller than 45/10
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,
40/12 = 40 × 5/12 × 5 = 200/60 - Likewise, for the 2nd fraction, since 10 × 6 = 60,
45/10 = 45 × 6/10 × 6 = 270/60 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 200/60 < 270/60 or 40/12 < 45/10
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