Compare 45/35 and 30/14
1st number: 1 10/35, 2nd number: 2 2/14
45/35 is smaller than 30/14
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 14 is 70
Next, find the equivalent fraction of both fractional numbers with denominator 70 - For the 1st fraction, since 35 × 2 = 70,
45/35 = 45 × 2/35 × 2 = 90/70 - Likewise, for the 2nd fraction, since 14 × 5 = 70,
30/14 = 30 × 5/14 × 5 = 150/70 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 90/70 < 150/70 or 45/35 < 30/14
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