Add 2/3 and 5/7
2/3 + 5/7 is 29/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 7 is 21
Next, find the equivalent fraction of both fractional numbers with denominator 21 - For the 1st fraction, since 3 × 7 = 21,
2/3 = 2 × 7/3 × 7 = 14/21 - Likewise, for the 2nd fraction, since 7 × 3 = 21,
5/7 = 5 × 3/7 × 3 = 15/21 - Add the two like fractions:
14/21 + 15/21 = 14 + 15/21 = 29/21 - So, 2/3 + 5/7 = 29/21
In mixed form: 18/21
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