Question
subtraction using Brahmagupta’s method:
$\frac{2}{3}-\frac{1}{2}$

Answer

Given $\frac{2}{3}-\frac{1}{2}$
Here LCM of 3 and 2 is 6. Fractional unit for both fractions should be $\frac{1}{6}$
$\begin{aligned} \therefore \quad & \frac{2 \times 2}{3 \times 2}-\frac{1 \times 3}{2 \times 3} \\ & =\frac{4}{6}-\frac{3}{6} \\ & =\frac{4-3}{6} \\ & =\frac{1}{6}\end{aligned}$

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