Add 8/3 and 30/42
1st number: 2 2/3, 2nd number: 30/42
8/3 + 30/42 is 71/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 42 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 3 × 14 = 42,
8/3 = 8 × 14/3 × 14 = 112/42 - Likewise, for the 2nd fraction, since 42 × 1 = 42,
30/42 = 30 × 1/42 × 1 = 30/42 - Add the two like fractions:
112/42 + 30/42 = 112 + 30/42 = 142/42 - 142/42 simplified gives 71/21
- So, 8/3 + 30/42 = 71/21
In mixed form: 38/21
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