Compare 30/12 and 75/10
1st number: 2 6/12, 2nd number: 7 5/10
30/12 is smaller than 75/10
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,
30/12 = 30 × 5/12 × 5 = 150/60 - Likewise, for the 2nd fraction, since 10 × 6 = 60,
75/10 = 75 × 6/10 × 6 = 450/60 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/60 < 450/60 or 30/12 < 75/10
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