Math Problem Statement

2.8 ÷ 2.1 + 2 1/3 + 5.2 ÷ 2.6 × 0.5 का मान होगा।

Solution

The problem appears to involve a series of mathematical operations. Translating the expression, it is:

2.8÷2.1+213+5.2÷2.6×0.52.8 \div 2.1 + 2 \frac{1}{3} + 5.2 \div 2.6 \times 0.5

Step-by-step Solution:

  1. Simplify each term:

    • 2.8÷2.1=2821=43=1.33332.8 \div 2.1 = \frac{28}{21} = \frac{4}{3} = 1.3333
    • Convert 2132 \frac{1}{3} to an improper fraction:
      213=732.33332 \frac{1}{3} = \frac{7}{3} \approx 2.3333
    • 5.2÷2.6=25.2 \div 2.6 = 2
    • 2×0.5=12 \times 0.5 = 1
  2. Combine the results:

    • 1.3333+2.3333+1=4.66661.3333 + 2.3333 + 1 = 4.6666

Final Answer:

4.6666or approximately 4.674.6666 \, \text{or approximately } 4.67

Would you like more clarification on any step?

5 Related Questions:

  1. How do you convert mixed fractions to improper fractions?
  2. What are the rules of operations involving division and multiplication?
  3. Why is the order of operations important in evaluating expressions?
  4. How can such expressions be simplified faster using estimation?
  5. How do you handle decimals when simplifying complex equations?

Tip:

Always simplify fractions and decimals early to keep calculations manageable.

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Math Problem Analysis

Mathematical Concepts

Arithmetic Operations
Fractions and Decimals
Order of Operations

Formulas

Division: a ÷ b = a × (1/b)
Multiplication: a × b = b × a
Mixed Fraction Conversion: a b/c = (ac + b)/c

Theorems

PEMDAS/BODMAS Rule

Suitable Grade Level

Grades 6-8