Compare 30/40 and 10/9
1st number: 30/40, 2nd number: 1 1/9
30/40 is smaller than 10/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 9 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 40 × 9 = 360,
30/40 = 30 × 9/40 × 9 = 270/360 - Likewise, for the 2nd fraction, since 9 × 40 = 360,
10/9 = 10 × 40/9 × 40 = 400/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 270/360 < 400/360 or 30/40 < 10/9
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