Compare 42/28 and 30/16
1st number: 1 14/28, 2nd number: 1 14/16
42/28 is smaller than 30/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 16 is 112
Next, find the equivalent fraction of both fractional numbers with denominator 112 - For the 1st fraction, since 28 × 4 = 112,
42/28 = 42 × 4/28 × 4 = 168/112 - Likewise, for the 2nd fraction, since 16 × 7 = 112,
30/16 = 30 × 7/16 × 7 = 210/112 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 168/112 < 210/112 or 42/28 < 30/16
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