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Rational Numbers — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSRational Numbers1 Mark
Question
For rational numbers $\frac{\text{a}}{\text{b}},\frac{\text{c}}{\text{d}}$ and $\frac{\text{e}}{\text{f}}$ we have $\frac{\text{a}}{\text{b}}\times\Big(\frac{\text{c}}{\text{d}}+\frac{\text{e}}{\text{f}}\Big)=$ _____ + _____.
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Answer

For rational numbers $\frac{\text{a}}{\text{b}},\frac{\text{c}}{\text{d}}$ and $\frac{\text{e}}{\text{f}}$ we have $\frac{\text{a}}{\text{b}}\times\Big(\frac{\text{c}}{\text{d}}+\frac{\text{e}}{\text{f}}\Big)=$ $\frac{\text{ac}}{\text{bd}}+\frac{\text{ae}}{\text{bf}}.$ Solution: If $\frac{\text{a}}{\text{b}}\times\Big(\frac{\text{c}}{\text{d}}+\frac{\text{e}}{\text{f}}\Big)$ $=\frac{\text{a}}{\text{b}}\times\frac{\text{c}}{\text{d}}+\frac{\text{a}}{\text{b}}\times\frac{\text{e}}{\text{f}}$ $=\frac{\text{ac}}{\text{bd}}+\frac{\text{ae}}{\text{bf}}$

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