Add 30/14 and 2/3
1st number: 2 2/14, 2nd number: 2/3
30/14 + 2/3 is 59/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 3 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 14 × 3 = 42,
30/14 = 30 × 3/14 × 3 = 90/42 - Likewise, for the 2nd fraction, since 3 × 14 = 42,
2/3 = 2 × 14/3 × 14 = 28/42 - Add the two like fractions:
90/42 + 28/42 = 90 + 28/42 = 118/42 - 118/42 simplified gives 59/21
- So, 30/14 + 2/3 = 59/21
In mixed form: 217/21
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