Compare 10/35 and 81/42
1st number: 10/35, 2nd number: 1 39/42
10/35 is smaller than 81/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 35 × 6 = 210,
10/35 = 10 × 6/35 × 6 = 60/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
81/42 = 81 × 5/42 × 5 = 405/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 60/210 < 405/210 or 10/35 < 81/42
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