Compare 75/35 and 30/10
1st number: 2 5/35, 2nd number: 3 0/10
75/35 is smaller than 30/10
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 10 is 70
Next, find the equivalent fraction of both fractional numbers with denominator 70 - For the 1st fraction, since 35 × 2 = 70,
75/35 = 75 × 2/35 × 2 = 150/70 - Likewise, for the 2nd fraction, since 10 × 7 = 70,
30/10 = 30 × 7/10 × 7 = 210/70 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/70 < 210/70 or 75/35 < 30/10
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