Compare 35/30 and 42/28
1st number: 1 5/30, 2nd number: 1 14/28
35/30 is smaller than 42/28
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 28 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 30 × 14 = 420,
35/30 = 35 × 14/30 × 14 = 490/420 - Likewise, for the 2nd fraction, since 28 × 15 = 420,
42/28 = 42 × 15/28 × 15 = 630/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 490/420 < 630/420 or 35/30 < 42/28
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