Subjects algebra

Brahmagupta Fractions D30528

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Brahmagupta Fractions D30528


1. The problem is to add two fractions using Brahmagupta's method. 2. Brahmagupta's method for adding fractions $\frac{a}{b}$ and $\frac{c}{d}$ is given by: $$\frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd}$$ 3. This method involves cross-multiplying the numerators and denominators and then adding the results to get the numerator of the sum, while the denominator is the product of the two denominators. 4. For example, if we add $\frac{a}{b}$ and $\frac{c}{d}$: - Multiply $a$ by $d$ to get $ad$ - Multiply $b$ by $c$ to get $bc$ - Add these two products: $ad + bc$ - Multiply the denominators $b$ and $d$ to get $bd$ 5. The sum is then: $$\frac{ad + bc}{bd}$$ 6. This fraction can be simplified further if needed by finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by it. Since the user did not provide specific fractions, this is the general method to add fractions using Brahmagupta's method.