Problem
Calculate: 2/3 + 3/4
📝Step-by-Step Solution
1
Find the common denominator
The denominators are 3 and 4. The least common multiple (LCM) of 3 and 4 is 12.
LCD = 12
2
Convert the first fraction
Multiply 2/3 by 4/4 to get an equivalent fraction with denominator 12: 2/3 × 4/4 = 8/12
2/3 = 8/12
3
Convert the second fraction
Multiply 3/4 by 3/3 to get an equivalent fraction with denominator 12: 3/4 × 3/3 = 9/12
3/4 = 9/12
4
Add the fractions
Now add the numerators: 8/12 + 9/12 = 17/12
8/12 + 9/12 = 17/12
5
Convert to mixed number (optional)
Since 17 > 12, this is an improper fraction. 17 ÷ 12 = 1 remainder 5, so 17/12 = 1 5/12
17/12 = 1 5/12
✅Final Answer
17/12 or 1 5/12
When adding fractions with different denominators, we must first convert them to equivalent fractions with a common denominator. The LCD (least common denominator) makes the math easier, though any common denominator works.
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