To find: 3+5 7 ∴ nbsp; 3+ 5 7=31+ 57 LCM of denominators 1 and 7 = 7 ⇒ 3+ 5 7=31+ 57 =3 × 71 × 7 + 57 =217+ 57 =21+( 5)7 =167 Hence 3+5 7=167 ...

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Addition of Unlike Fractions

Simplify:ii 3...

Question

Simplify:

(ii) $3 + \frac{5}{- 7}$

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Solution

To find: $3 + \frac{5}{- 7}$

$∴ 3 + \frac{5}{- 7} = \frac{3}{1} + \frac{- 5}{7}$
LCM of denominators $1$ and $7 = 7$
$\Rightarrow 3 + \frac{5}{- 7} = \frac{3}{1} + \frac{- 5}{7}$
$= \frac{3 \times 7}{1 \times 7} + \frac{- 5}{7}$
$= \frac{21}{7} + \frac{- 5}{7}$
$= \frac{21 + (- 5)}{7}$
$= \frac{16}{7}$

Hence $3 + \frac{5}{- 7} = \frac{16}{7}$

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