Math Problem Statement
Solution
We are asked to solve and express the answer as a mixed number in its lowest terms.
Step 1: Convert the mixed numbers to improper fractions.
-
:
-
:
Step 2: Find a common denominator.
The denominators are 6 and 9. The least common denominator (LCD) is 18.
Convert the fractions to have the same denominator:
Step 3: Add the fractions.
Now, add the fractions:
Step 4: Convert the improper fraction to a mixed number.
Divide 55 by 18:
So, .
Thus, the answer is , already in its lowest terms.
Would you like further details on any part of the solution?
Here are some related questions:
- How do you find the least common denominator?
- How do you convert a mixed number to an improper fraction?
- How do you simplify improper fractions?
- How do you convert improper fractions to mixed numbers?
- How can you check if your mixed number is in its lowest terms?
Tip: Always ensure that fractions are simplified by finding the greatest common divisor (GCD) of the numerator and denominator.
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Math Problem Analysis
Mathematical Concepts
Fractions
Mixed Numbers
Improper Fractions
Least Common Denominator
Formulas
Conversion of mixed number to improper fraction: a b/c = (c * a + b) / c
Finding the least common denominator
Adding fractions: a/b + c/b = (a + c) / b
Converting improper fraction to mixed number
Theorems
Least Common Denominator
Fraction Addition
Suitable Grade Level
Grades 5-7