Math Problem Statement
5 7/18+9 5/12
Solution
Let's break down the addition step by step:
You are adding two mixed numbers: and .
Step 1: Convert the mixed numbers to improper fractions.
For :
For :
Step 2: Find a common denominator.
The denominators are 18 and 12. The least common denominator (LCD) of 18 and 12 is 36.
-
Convert to have a denominator of 36:
-
Convert to have a denominator of 36:
Step 3: Add the fractions.
Now we can add the fractions:
Step 4: Simplify the result.
is an improper fraction. To convert it back to a mixed number:
- Divide 533 by 36: (quotient) with a remainder of .
- So, .
Final Answer:
Let me know if you'd like more details or further clarification!
Here are some related questions for practice:
- How do you convert mixed numbers to improper fractions?
- What is the least common denominator (LCD) and how do you find it?
- How do you simplify improper fractions to mixed numbers?
- Can you add two fractions with different denominators without finding the LCD?
- How do you subtract fractions with different denominators?
Tip: When adding or subtracting fractions, always make sure to find a common denominator before combining them!
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Math Problem Analysis
Mathematical Concepts
Mixed Numbers
Improper Fractions
Fraction Addition
Formulas
Mixed Number to Improper Fraction: a b/c = (a * c + b)/c
Adding Fractions: (a/c + b/d) = (a * d + b * c) / (c * d)
Improper Fraction to Mixed Number: a/b = quotient remainder
Theorems
Least Common Denominator (LCD)
Suitable Grade Level
Grades 4-6