Math Problem Statement

1 3/4 (10-5) x 1 / (2+3)

Solution

The expression in the image you provided is:

134×(105)×1÷(2+3)1 \frac{3}{4} \times (10 - 5) \times 1 \div (2 + 3)

Let's break this down step by step:

  1. Convert the mixed fraction 1341 \frac{3}{4} to an improper fraction: 134=741 \frac{3}{4} = \frac{7}{4}

  2. Simplify the expression inside the parentheses: (105)=5(10 - 5) = 5 (2+3)=5(2 + 3) = 5

  3. Substitute these values into the expression: 74×5×1÷5\frac{7}{4} \times 5 \times 1 \div 5

  4. Simplify the multiplication and division: 74×5=354\frac{7}{4} \times 5 = \frac{35}{4} 354×1÷5=354×15=3520=74\frac{35}{4} \times 1 \div 5 = \frac{35}{4} \times \frac{1}{5} = \frac{35}{20} = \frac{7}{4}

So the final result is:

74or1.75\frac{7}{4} \quad \text{or} \quad 1.75

Would you like a detailed explanation of any particular step? Here are some follow-up questions to enhance your understanding:

  1. How do you convert mixed numbers into improper fractions?
  2. What are the rules for multiplying and dividing fractions?
  3. How do you simplify expressions with both multiplication and division?
  4. Can you explain how parentheses affect the order of operations in this problem?
  5. How would the result change if we changed the values inside the parentheses?

Tip: Always handle parentheses and fractional conversions before other operations for accuracy!

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Math Problem Analysis

Mathematical Concepts

Fractions
Multiplication
Division
Order of Operations (PEMDAS)

Formulas

Mixed fraction conversion: 1 3/4 = 7/4
Simplifying expressions with parentheses: (a-b), (a+b)
Multiplication and division of fractions: (a/b) x c

Theorems

Order of Operations (PEMDAS/BODMAS)

Suitable Grade Level

Grades 6-8