Compare 8/9 and 9/40
8/9 is greater than 9/40
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,
8/9 = 8 × 40/9 × 40 = 320/360 - Likewise, for the 2nd fraction, since 40 × 9 = 360,
9/40 = 9 × 9/40 × 9 = 81/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 320/360 > 81/360 or 8/9 > 9/40
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