Math Problem Statement

Simplify the complex fraction \( \frac{\frac{5}{6}}{3} \)

Solution

The given expression is a complex fraction:

563\frac{\frac{5}{6}}{3}

To simplify this expression, we follow these steps:

  1. Rewrite the division as multiplication by the reciprocal:

    56÷3=56×13\frac{5}{6} \div 3 = \frac{5}{6} \times \frac{1}{3}

  2. Multiply the fractions:

    5×16×3=518\frac{5 \times 1}{6 \times 3} = \frac{5}{18}

So, the simplified form of the given expression is:

518\frac{5}{18}

Would you like more details or have any questions?

Related Questions

  1. How do you simplify other complex fractions?
  2. What is the general rule for dividing fractions?
  3. How do you convert improper fractions to mixed numbers?
  4. Can you simplify 784\frac{\frac{7}{8}}{4}?
  5. What is the process for multiplying fractions?

Tip

Always remember that dividing by a number is the same as multiplying by its reciprocal!

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Math Problem Analysis

Mathematical Concepts

Fractions
Division of Fractions
Simplification of Complex Fractions

Formulas

\( \frac{a}{b} \div c = \frac{a}{b} \times \frac{1}{c} \)

Theorems

Division by Reciprocal

Suitable Grade Level

Grades 5-7