Math Problem Statement

\displaylines35{\displaylines3\\ 5} dived 23\frac23=

Solution

The expression you have written is:

5÷235 \div \frac{2}{3}

To divide by a fraction, you can multiply by its reciprocal. So:

5÷23=5×325 \div \frac{2}{3} = 5 \times \frac{3}{2}

Now, multiply:

5×32=5×32=1525 \times \frac{3}{2} = \frac{5 \times 3}{2} = \frac{15}{2}

So, the result is:

152 or 7.5\frac{15}{2} \text{ or } 7.5

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

Additional questions:

  1. How do you simplify fractions when multiplying them?
  2. What is the process of converting a fraction into a decimal?
  3. How does multiplying by a reciprocal work in other operations like division or subtraction?
  4. Can you give an example of dividing by a mixed number instead of a simple fraction?
  5. What is the importance of understanding division with fractions in real-world applications?

Tip:

When dividing by a fraction, always remember to multiply by the reciprocal (flip the fraction and then multiply).

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Math Problem Analysis

Mathematical Concepts

Division of Fractions
Reciprocal
Multiplication of Fractions

Formulas

a ÷ b = a × (1/b)
Multiplying Fractions: (a/b) × (c/d) = ac/bd

Theorems

Multiplying by the reciprocal of a fraction

Suitable Grade Level

Grades 5-7