Compare 36/35 and 21/8
1st number: 1 1/35, 2nd number: 2 5/8
36/35 is smaller than 21/8
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,
36/35 = 36 × 8/35 × 8 = 288/280 - Likewise, for the 2nd fraction, since 8 × 35 = 280,
21/8 = 21 × 35/8 × 35 = 735/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 288/280 < 735/280 or 36/35 < 21/8
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