Math Problem Statement

Evaluate the expression. – 5 1 4 – – 1 1 2 × – 3÷ – 2 Write your answer as a fraction or as a whole or mixed number.

Solution

It seems like the expression contains a mix of symbols. To clarify, it looks like you're asking to evaluate:

5412×32-\frac{5}{4} - \frac{1}{2} \times -\frac{3}{2}

Let's break it down step-by-step.

Step 1: Simplify the multiplication first

12×32=34\frac{1}{2} \times -\frac{3}{2} = -\frac{3}{4}

Step 2: Now, perform the subtraction

54(34)=54+34-\frac{5}{4} - \left(-\frac{3}{4}\right) = -\frac{5}{4} + \frac{3}{4}

Step 3: Combine the fractions

54+34=5+34=24=12-\frac{5}{4} + \frac{3}{4} = \frac{-5 + 3}{4} = \frac{-2}{4} = -\frac{1}{2}

Final Answer:

12-\frac{1}{2}

Let me know if you'd like more details or if you have any questions!

Here are 5 related questions to explore:

  1. How do you simplify fractions?
  2. What is the order of operations in an expression with mixed operations like addition, subtraction, multiplication, and division?
  3. How do you handle negative numbers in fractions?
  4. What is the difference between multiplying fractions and adding/subtracting them?
  5. How would you convert a fraction into a mixed number?

Tip: Always perform multiplication and division before addition and subtraction to avoid mistakes in calculations!

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Math Problem Analysis

Mathematical Concepts

Fractions
Order of Operations
Multiplication
Subtraction

Formulas

Multiplying fractions: a/b × c/d = ac/bd
Subtraction of fractions: a/b - c/b = (a - c)/b

Theorems

Order of Operations (PEMDAS)

Suitable Grade Level

Grades 5-7