Math Problem Statement
-1 1/2 + -1/-2 - -3/5
Solution
Let's break down the expression step by step:
Step 1: Convert mixed number to an improper fraction
Convert to an improper fraction:
Step 2: Simplify the second term
simplifies to:
Step 3: Remove the negative sign in the third term
becomes:
Step 4: Add all the fractions
Now the expression becomes:
Step 5: Combine and
Step 6: Add and
To combine these, convert to a fraction with a denominator of 5:
Now, add the fractions:
Final Answer:
Would you like more details on any of these steps?
Here are 5 related questions for further practice:
- What is the result of ?
- How do you convert a mixed number to an improper fraction?
- What happens when both numerator and denominator are negative in a fraction?
- How do you add fractions with different denominators?
- How would you solve ?
Tip: Always simplify negative signs before performing arithmetic with fractions to avoid confusion.
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Math Problem Analysis
Mathematical Concepts
Fractions
Mixed Numbers
Addition and Subtraction of Fractions
Simplifying Fractions
Formulas
Mixed Number to Improper Fraction Conversion: a b/c = (a*c + b)/c
Adding/Subtracting Fractions: a/b + c/d = (a*d + b*c)/(b*d)
Theorems
-
Suitable Grade Level
Grades 6-8