Compare 40/32 and 16/9
1st number: 1 8/32, 2nd number: 1 7/9
40/32 is smaller than 16/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 9 is 288
Next, find the equivalent fraction of both fractional numbers with denominator 288 - For the 1st fraction, since 32 × 9 = 288,
40/32 = 40 × 9/32 × 9 = 360/288 - Likewise, for the 2nd fraction, since 9 × 32 = 288,
16/9 = 16 × 32/9 × 32 = 512/288 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 360/288 < 512/288 or 40/32 < 16/9
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