Add 8/3 and 35/45
1st number: 2 2/3, 2nd number: 35/45
8/3 + 35/45 is 31/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 45 is 45
Next, find the equivalent fraction of both fractional numbers with denominator 45 - For the 1st fraction, since 3 × 15 = 45,
8/3 = 8 × 15/3 × 15 = 120/45 - Likewise, for the 2nd fraction, since 45 × 1 = 45,
35/45 = 35 × 1/45 × 1 = 35/45 - Add the two like fractions:
120/45 + 35/45 = 120 + 35/45 = 155/45 - 155/45 simplified gives 31/9
- So, 8/3 + 35/45 = 31/9
In mixed form: 34/9
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