how to divide fractions

how to divide fractions

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Dividing fractions is straightforward once you understand the steps. Here's a simple guide:

How to Divide Fractions

Step 1: Understand the problem

If you have two fractions, for example:

ab÷cd\frac{a}{b}\div \frac{c}{d}ba​÷dc​

Step 2: Flip the second fraction (find its reciprocal)

The reciprocal of cd\frac{c}{d}dc​ is dc\frac{d}{c}cd​.

Step 3: Multiply the first fraction by the reciprocal of the second

ab×dc=a×db×c\frac{a}{b}\times \frac{d}{c}=\frac{a\times d}{b\times c}ba​×cd​=b×ca×d​

Step 4: Simplify the result if possible

Reduce the fraction to its simplest form by dividing numerator and denominator by their greatest common divisor (GCD).

Example

Divide 34\frac{3}{4}43​ by 25\frac{2}{5}52​:

  1. Write the problem:

34÷25\frac{3}{4}\div \frac{2}{5}43​÷52​

  1. Flip the second fraction:

34×52\frac{3}{4}\times \frac{5}{2}43​×25​

  1. Multiply numerators and denominators:

3×54×2=158\frac{3\times 5}{4\times 2}=\frac{15}{8}4×23×5​=815​

  1. Simplify if needed (here, 158\frac{15}{8}815​ is already in simplest form).

If you want, I can help you with specific examples or practice problems!

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