Add 75/45 and 84/27
1st number: 1 30/45, 2nd number: 3 3/27
75/45 + 84/27 is 43/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 27 is 135
Next, find the equivalent fraction of both fractional numbers with denominator 135 - For the 1st fraction, since 45 × 3 = 135,
75/45 = 75 × 3/45 × 3 = 225/135 - Likewise, for the 2nd fraction, since 27 × 5 = 135,
84/27 = 84 × 5/27 × 5 = 420/135 - Add the two like fractions:
225/135 + 420/135 = 225 + 420/135 = 645/135 - 645/135 simplified gives 43/9
- So, 75/45 + 84/27 = 43/9
In mixed form: 47/9
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