Add 10/3 and 75/27
1st number: 3 1/3, 2nd number: 2 21/27
10/3 + 75/27 is 55/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 27 is 27
Next, find the equivalent fraction of both fractional numbers with denominator 27 - For the 1st fraction, since 3 × 9 = 27,
10/3 = 10 × 9/3 × 9 = 90/27 - Likewise, for the 2nd fraction, since 27 × 1 = 27,
75/27 = 75 × 1/27 × 1 = 75/27 - Add the two like fractions:
90/27 + 75/27 = 90 + 75/27 = 165/27 - 165/27 simplified gives 55/9
- So, 10/3 + 75/27 = 55/9
In mixed form: 61/9
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