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Add 2 or more fractions with step-by-step solutions. Shows LCD finding and simplification process.
Problem: 1/4 + 1/6
Step 1: LCD of 4 and 6 = 12
Step 2: 1/4 = 3/12 and 1/6 = 2/12
Step 3: 3/12 + 2/12 = 5/12
Step 4: Already in lowest terms!
Answer: 5/12
List the multiples of each denominator until you find the smallest number that appears in all lists. For example, for 1/4 and 1/6: multiples of 4 are 4, 8, 12, 16... and multiples of 6 are 6, 12, 18... The LCD is 12. You can also find the LCM using prime factorization.
No, you cannot add fractions with different denominators directly. You must first convert them to equivalent fractions with a common denominator. This ensures you're adding equal-sized pieces.
If the denominators are already the same, simply add the numerators and keep the denominator unchanged. For example: 2/7 + 3/7 = 5/7. Then simplify if possible.
The process is the same. Find the LCD of all denominators, convert each fraction to an equivalent fraction with the LCD, add all numerators together, and simplify the result.
No, it's easier to keep improper fractions as they are. Add them using the LCD method, then convert the final answer to a mixed number if desired or required.
An improper fraction (where numerator ≥ denominator) is a valid answer. You can leave it as is or convert it to a mixed number. For example, 7/4 = 1 3/4.