Add 2/3 and 21/45
2/3 + 21/45 is 17/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 45 is 45
Next, find the equivalent fraction of both fractional numbers with denominator 45 - For the 1st fraction, since 3 × 15 = 45,
2/3 = 2 × 15/3 × 15 = 30/45 - Likewise, for the 2nd fraction, since 45 × 1 = 45,
21/45 = 21 × 1/45 × 1 = 21/45 - Add the two like fractions:
30/45 + 21/45 = 30 + 21/45 = 51/45 - 51/45 simplified gives 17/15
- So, 2/3 + 21/45 = 17/15
In mixed form: 12/15
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