Problem
Add the fractions: 1/4 + 2/3
📝Step-by-Step Solution
Check the denominators
The denominators are 4 and 3. Since they are different, we need to find a common denominator before we can add.
Find the least common denominator (LCD)
List multiples of 4: 4, 8, 12, 16... List multiples of 3: 3, 6, 9, 12... The LCD is 12.
Convert the first fraction
Multiply 1/4 by 3/3 to get denominator 12: 1/4 × 3/3 = 3/12
Convert the second fraction
Multiply 2/3 by 4/4 to get denominator 12: 2/3 × 4/4 = 8/12
Add the numerators
Now that denominators match, add the numerators: 3/12 + 8/12 = 11/12
Simplify if possible
Check if 11/12 can be simplified. Since 11 and 12 share no common factors, 11/12 is already in simplest form.
✅Final Answer
11/12
To add fractions: (1) Find a common denominator, (2) Convert both fractions, (3) Add the numerators, (4) Keep the denominator the same, (5) Simplify if needed. Remember: NEVER add the denominators!
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