Math Problem Statement
Solution
Let's solve the fraction addition problem:
Step 1: Find the common denominator
We need to find the least common denominator (LCD) between 5 and 4. The least common multiple (LCM) of 5 and 4 is 20.
Step 2: Convert the fractions
Now, we rewrite the fractions with the denominator of 20.
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For , we multiply both the numerator and the denominator by 4:
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For , we multiply both the numerator and the denominator by 5:
Step 3: Add the fractions
Now that both fractions have the same denominator, we can add them:
Step 4: Simplify the result
Since is an improper fraction, we can convert it to a mixed number:
Thus, the result is:
Would you like further details or have any questions?
Here are 5 related questions for practice:
- What is ?
- How do you subtract ?
- What is the sum of ?
- Can you simplify ?
- How would you solve ?
Tip: Always find the least common denominator to make adding and subtracting fractions easier!
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Math Problem Analysis
Mathematical Concepts
Fractions
Addition of Fractions
Least Common Denominator
Formulas
(a/b) + (c/d) = (a*d + b*c) / (b*d)
Least Common Multiple (LCM)
Theorems
Equivalent Fractions
Suitable Grade Level
Grades 5-7