Compare 10/12 and 75/30
1st number: 10/12, 2nd number: 2 15/30
10/12 is smaller than 75/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 30 is 60
Next, find the equivalent fraction of both fractional numbers with denominator 60 - For the 1st fraction, since 12 × 5 = 60,
10/12 = 10 × 5/12 × 5 = 50/60 - Likewise, for the 2nd fraction, since 30 × 2 = 60,
75/30 = 75 × 2/30 × 2 = 150/60 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 50/60 < 150/60 or 10/12 < 75/30
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