Compare 35/16 and 42/28
1st number: 2 3/16, 2nd number: 1 14/28
35/16 is greater than 42/28
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 28 is 112
Next, find the equivalent fraction of both fractional numbers with denominator 112 - For the 1st fraction, since 16 × 7 = 112,
35/16 = 35 × 7/16 × 7 = 245/112 - Likewise, for the 2nd fraction, since 28 × 4 = 112,
42/28 = 42 × 4/28 × 4 = 168/112 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 245/112 > 168/112 or 35/16 > 42/28
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