Compare 40/60 and 10/9
1st number: 40/60, 2nd number: 1 1/9
40/60 is smaller than 10/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 9 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 60 × 3 = 180,
40/60 = 40 × 3/60 × 3 = 120/180 - Likewise, for the 2nd fraction, since 9 × 20 = 180,
10/9 = 10 × 20/9 × 20 = 200/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 120/180 < 200/180 or 40/60 < 10/9
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