Compare 21/8 and 36/35
1st number: 2 5/8, 2nd number: 1 1/35
21/8 is greater than 36/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 35 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 8 × 35 = 280,
21/8 = 21 × 35/8 × 35 = 735/280 - Likewise, for the 2nd fraction, since 35 × 8 = 280,
36/35 = 36 × 8/35 × 8 = 288/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 735/280 > 288/280 or 21/8 > 36/35
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