Add 2/3 and 21/42
2/3 + 21/42 is 7/6.
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,
21/42 = 21 × 1/42 × 1 = 21/42 - Add the two like fractions:
28/42 + 21/42 = 28 + 21/42 = 49/42 - 49/42 simplified gives 7/6
- So, 2/3 + 21/42 = 7/6
In mixed form: 11/6
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