Compare 18/32 and 40/18
1st number: 18/32, 2nd number: 2 4/18
18/32 is smaller than 40/18
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,
18/32 = 18 × 9/32 × 9 = 162/288 - Likewise, for the 2nd fraction, since 18 × 16 = 288,
40/18 = 40 × 16/18 × 16 = 640/288 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 162/288 < 640/288 or 18/32 < 40/18
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