Compare 3/42 and 10/35
3/42 is smaller than 10/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 35 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 42 × 5 = 210,
3/42 = 3 × 5/42 × 5 = 15/210 - Likewise, for the 2nd fraction, since 35 × 6 = 210,
10/35 = 10 × 6/35 × 6 = 60/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 15/210 < 60/210 or 3/42 < 10/35
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