Compare 32/9 and 7/40
1st number: 3 5/9, 2nd number: 7/40
32/9 is greater than 7/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 40 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 9 × 40 = 360,
32/9 = 32 × 40/9 × 40 = 1280/360 - Likewise, for the 2nd fraction, since 40 × 9 = 360,
7/40 = 7 × 9/40 × 9 = 63/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1280/360 > 63/360 or 32/9 > 7/40
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