Math Problem Statement
Solve the following fraction problems:
1. (3/8) + (1/12)
2. (2/3) + (7/12)
3. (6/10) + (7/15)
4. (5/8) + (5/12)
5. (5/12) + (3/15)
Solution
Let's go through each of the problems and solve them.
-
:
- The least common denominator (LCD) of 8 and 12 is 24.
- Convert both fractions to have a denominator of 24:
- Now add the fractions:
- Answer: .
-
:
- The LCD of 3 and 12 is 12.
- Convert both fractions:
- Now add the fractions:
- Simplify:
- Answer: or .
-
:
- The LCD of 10 and 15 is 30.
- Convert both fractions:
- Now add the fractions:
- Simplify:
- Answer: or .
-
:
- The LCD of 8 and 12 is 24.
- Convert both fractions:
- Now add the fractions:
- Simplify:
- Answer: or .
-
:
- The LCD of 12 and 15 is 60.
- Convert both fractions:
- Now add the fractions:
- Answer: .
Would you like further details on any of these steps? Here are 5 related questions for practice:
- What is the least common denominator of 6 and 9?
- Simplify the sum .
- What is in its simplest form?
- Add and simplify.
- If you have , what is the result?
Tip: When adding fractions, always find the least common denominator to make the addition easier.
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Math Problem Analysis
Mathematical Concepts
Fractions
Addition of Fractions
Least Common Denominator
Formulas
LCD of two numbers
Addition of fractions with different denominators
Theorems
Concept of Least Common Denominator (LCD)
Suitable Grade Level
Grades 5-7