Add 2/3 and 30/42
2/3 + 30/42 is 29/21.
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,
2/3 = 2 × 14/3 × 14 = 28/42 - Likewise, for the 2nd fraction, since 42 × 1 = 42,
30/42 = 30 × 1/42 × 1 = 30/42 - Add the two like fractions:
28/42 + 30/42 = 28 + 30/42 = 58/42 - 58/42 simplified gives 29/21
- So, 2/3 + 30/42 = 29/21
In mixed form: 18/21
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