Compare 14/32 and 40/9
1st number: 14/32, 2nd number: 4 4/9
14/32 is smaller than 40/9
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,
14/32 = 14 × 9/32 × 9 = 126/288 - Likewise, for the 2nd fraction, since 9 × 32 = 288,
40/9 = 40 × 32/9 × 32 = 1280/288 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 126/288 < 1280/288 or 14/32 < 40/9
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