Compare 30/32 and 30/18
1st number: 30/32, 2nd number: 1 12/18
30/32 is smaller than 30/18
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,
30/32 = 30 × 9/32 × 9 = 270/288 - Likewise, for the 2nd fraction, since 18 × 16 = 288,
30/18 = 30 × 16/18 × 16 = 480/288 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 270/288 < 480/288 or 30/32 < 30/18
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