Compare 30/14 and 75/20
1st number: 2 2/14, 2nd number: 3 15/20
30/14 is smaller than 75/20
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 20 is 140
Next, find the equivalent fraction of both fractional numbers with denominator 140 - For the 1st fraction, since 14 × 10 = 140,
30/14 = 30 × 10/14 × 10 = 300/140 - Likewise, for the 2nd fraction, since 20 × 7 = 140,
75/20 = 75 × 7/20 × 7 = 525/140 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 300/140 < 525/140 or 30/14 < 75/20
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