Add 8/3 and 30/45
1st number: 2 2/3, 2nd number: 30/45
8/3 + 30/45 is 10/3.
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,
30/45 = 30 × 1/45 × 1 = 30/45 - Add the two like fractions:
120/45 + 30/45 = 120 + 30/45 = 150/45 - 150/45 simplified gives 10/3
- So, 8/3 + 30/45 = 10/3
In mixed form: 31/3
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