Compare 9/40 and 60/90
9/40 is smaller than 60/90
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 90 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 40 × 9 = 360,
9/40 = 9 × 9/40 × 9 = 81/360 - Likewise, for the 2nd fraction, since 90 × 4 = 360,
60/90 = 60 × 4/90 × 4 = 240/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 81/360 < 240/360 or 9/40 < 60/90
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