Subjects algebra

Change Fractions

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1. The problem is to understand how to calculate the change in fractions. 2. Suppose you have an initial fraction $\frac{a}{b}$ and a final fraction $\frac{c}{d}$. 3. The change in fractions is found by subtracting the initial fraction from the final fraction: $$\text{Change} = \frac{c}{d} - \frac{a}{b}$$ 4. To subtract these fractions, find a common denominator, which is $bd$: $$\frac{c}{d} - \frac{a}{b} = \frac{cb}{bd} - \frac{ad}{bd}$$ 5. Now subtract the numerators: $$\frac{cb - ad}{bd}$$ 6. This fraction represents the change between the two fractions. 7. Simplify the fraction if possible by dividing numerator and denominator by their greatest common divisor. This method allows you to find the exact change between any two fractions.