Compare 42/35 and 81/8
1st number: 1 7/35, 2nd number: 10 1/8
42/35 is smaller than 81/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 8 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 35 × 8 = 280,
42/35 = 42 × 8/35 × 8 = 336/280 - Likewise, for the 2nd fraction, since 8 × 35 = 280,
81/8 = 81 × 35/8 × 35 = 2835/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 336/280 < 2835/280 or 42/35 < 81/8
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