Math Problem Statement

5/6 ÷ 4/2

Solution

The expression in the image shows:

56÷42\frac{5}{6} \div \frac{4}{2}

To solve a division of fractions, we can multiply the first fraction by the reciprocal (inverse) of the second fraction. Let's break it down step by step.

  1. The given expression is:

56÷42\frac{5}{6} \div \frac{4}{2}

  1. The reciprocal of 42\frac{4}{2} is 24\frac{2}{4}. So, the expression becomes:

56×24\frac{5}{6} \times \frac{2}{4}

  1. Now multiply the numerators and the denominators:

5×26×4=1024\frac{5 \times 2}{6 \times 4} = \frac{10}{24}

  1. Simplify the fraction 1024\frac{10}{24}:

1024=512\frac{10}{24} = \frac{5}{12}

So, the solution to the expression is:

512\frac{5}{12}

Would you like further details on this or any other part of the process?


Here are five related questions you might explore:

  1. How do you convert division of fractions into multiplication?
  2. How can you simplify a fraction?
  3. What is the process for multiplying fractions with different denominators?
  4. Can this fraction be simplified further?
  5. How do you add or subtract fractions with unlike denominators?

Tip: When dividing fractions, always remember to multiply by the reciprocal of the second fraction.

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Math Problem Analysis

Mathematical Concepts

Division of fractions
Reciprocal
Multiplication of fractions
Simplification

Formulas

a ÷ b = a × (1/b)
Simplification of fractions

Theorems

Reciprocal theorem
Multiplication of fractions

Suitable Grade Level

Grades 5-6