Compare 35/32 and 21/18
1st number: 1 3/32, 2nd number: 1 3/18
35/32 is smaller than 21/18
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 18 is 288
Next, find the equivalent fraction of both fractional numbers with denominator 288 - For the 1st fraction, since 32 × 9 = 288,
35/32 = 35 × 9/32 × 9 = 315/288 - Likewise, for the 2nd fraction, since 18 × 16 = 288,
21/18 = 21 × 16/18 × 16 = 336/288 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 315/288 < 336/288 or 35/32 < 21/18
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