Compare 42/14 and 30/8
1st number: 3 0/14, 2nd number: 3 6/8
42/14 is smaller than 30/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 8 is 56
Next, find the equivalent fraction of both fractional numbers with denominator 56 - For the 1st fraction, since 14 × 4 = 56,
42/14 = 42 × 4/14 × 4 = 168/56 - Likewise, for the 2nd fraction, since 8 × 7 = 56,
30/8 = 30 × 7/8 × 7 = 210/56 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 168/56 < 210/56 or 42/14 < 30/8
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