Add 2/3 and 35/42
2/3 + 35/42 is 3/2.
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,
35/42 = 35 × 1/42 × 1 = 35/42 - Add the two like fractions:
28/42 + 35/42 = 28 + 35/42 = 63/42 - 63/42 simplified gives 3/2
- So, 2/3 + 35/42 = 3/2
In mixed form: 11/2
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