Compare 42/35 and 84/60
1st number: 1 7/35, 2nd number: 1 24/60
42/35 is smaller than 84/60
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 60 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 35 × 12 = 420,
42/35 = 42 × 12/35 × 12 = 504/420 - Likewise, for the 2nd fraction, since 60 × 7 = 420,
84/60 = 84 × 7/60 × 7 = 588/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 504/420 < 588/420 or 42/35 < 84/60
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