Math Problem Statement
what is the midway point between 3 2/3 and 5 1/6
Solution
To find the midway point between and , we can follow these steps:
-
Convert the mixed numbers to improper fractions:
-
Find a common denominator:
- The least common denominator (LCD) of 3 and 6 is 6.
- Convert to a fraction with denominator 6:
.
-
Add the two fractions:
- .
-
Divide by 2 to find the midpoint:
- .
-
Convert back to a mixed number:
- .
Thus, the midway point between and is .
Would you like further details or clarification?
Here are 5 related questions for you to explore:
- How do you convert mixed numbers to improper fractions?
- What are other methods for finding the midpoint of two numbers?
- How do you find the least common denominator (LCD) of fractions?
- How do you multiply and divide fractions?
- Can you calculate the average of three mixed numbers?
Tip: When dividing fractions, remember that dividing by a fraction is the same as multiplying by its reciprocal.
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Math Problem Analysis
Mathematical Concepts
Fractions
Mixed Numbers
Averages
Formulas
Midpoint = (a + b) / 2
Conversion of mixed numbers to improper fractions
Theorems
Arithmetic Mean Theorem
Suitable Grade Level
Grades 6-8