Compare 35/4 and 42/3
1st number: 8 3/4, 2nd number: 14 0/3
35/4 is smaller than 42/3
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 3 is 12
Next, find the equivalent fraction of both fractional numbers with denominator 12 - For the 1st fraction, since 4 × 3 = 12,
35/4 = 35 × 3/4 × 3 = 105/12 - Likewise, for the 2nd fraction, since 3 × 4 = 12,
42/3 = 42 × 4/3 × 4 = 168/12 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 105/12 < 168/12 or 35/4 < 42/3
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