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Answer:
To compute dissimilar fractions, which are fractions with different denominators, you need to find a common denominator and then perform the necessary operations. Here's a step-by-step guide on how to compute dissimilar fractions:
Steps to Compute Dissimilar Fractions:
Step 1: Find a Common Denominator
1. Identify the denominators of the dissimilar fractions.
2. Determine the least common multiple (LCM) of the denominators. The LCM is the smallest number that both denominators divide evenly into.
Step 2: Convert Fractions to Have a Common Denominator
3. Rewrite each fraction with the common denominator.
4. Multiply the numerator and denominator of each fraction by the factor needed to make the denominators the same.
Step 3: Perform the Operation
5. Once the fractions have the same denominator, perform the desired operation (addition, subtraction, multiplication, division) on the numerators while keeping the common denominator.
Step 4: Simplify (if necessary)
6. Simplify the resulting fraction if possible by reducing it to its simplest form.
Example: Adding Dissimilar Fractions
Let's say we want to add the dissimilar fractions 1/3 and 1/4:
Step 1: Find a Common Denominator
1. Denominators are 3 and 4.
2. LCM of 3 and 4 is 12.
Step 2: Convert Fractions
3. Rewrite 1/3 as (1 * 4)/(3 * 4) = 4/12
4. Rewrite 1/4 as (1 * 3)/(4 * 3) = 3/12
Step 3: Add the Fractions
5. Add the numerators: 4/12 + 3/12 = 7/12
Step 4: Simplify
6. The result, 7/12, is already in simplest form.
Summary:
- Find a common denominator.
- Convert fractions to have the same denominator.
- Perform the operation on the numerators while keeping the common denominator.
- Simplify the result if possible.
By following these steps, you can compute dissimilar fractions accurately and efficiently.