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:
- Write the problem:
34÷25\frac{3}{4}\div \frac{2}{5}43÷52
- Flip the second fraction:
34×52\frac{3}{4}\times \frac{5}{2}43×25
- Multiply numerators and denominators:
3×54×2=158\frac{3\times 5}{4\times 2}=\frac{15}{8}4×23×5=815
- 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!