Compare 1/6 and 42/35
1st number: 1/6, 2nd number: 1 7/35
1/6 is smaller than 42/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 6 and 35 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 6 × 35 = 210,
1/6 = 1 × 35/6 × 35 = 35/210 - Likewise, for the 2nd fraction, since 35 × 6 = 210,
42/35 = 42 × 6/35 × 6 = 252/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 35/210 < 252/210 or 1/6 < 42/35
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