Compare 21/35 and 21/18
1st number: 21/35, 2nd number: 1 3/18
21/35 is smaller than 21/18
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 18 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 35 × 18 = 630,
21/35 = 21 × 18/35 × 18 = 378/630 - Likewise, for the 2nd fraction, since 18 × 35 = 630,
21/18 = 21 × 35/18 × 35 = 735/630 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 378/630 < 735/630 or 21/35 < 21/18
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