Compare 30/14 and 75/28
1st number: 2 2/14, 2nd number: 2 19/28
30/14 is smaller than 75/28
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 28 is 28
Next, find the equivalent fraction of both fractional numbers with denominator 28 - For the 1st fraction, since 14 × 2 = 28,
30/14 = 30 × 2/14 × 2 = 60/28 - Likewise, for the 2nd fraction, since 28 × 1 = 28,
75/28 = 75 × 1/28 × 1 = 75/28 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 60/28 < 75/28 or 30/14 < 75/28
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