To find: nbsp; 819+ 457 ∴ LCM of denominators 19 and 57 = 57 ⇒ 819+ 457= 8 × 319 × 3+ 457 = 2457+ 457 = 24+( 4)57 = 24 457 = 2857 Hence nbsp; 819+ 457= ...

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Standard VI

Mathematics

Subtraction of Fractions

Simplifyiv -8...

Question

Simplify

(iv) $\frac{- 8}{19} + \frac{- 4}{57}$

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Solution

To find: $\frac{- 8}{19} + \frac{- 4}{57}$

$∴$ LCM of denominators $19$ and $57 = 57$
$\Rightarrow \frac{- 8}{19} + \frac{- 4}{57} = \frac{- 8 \times 3}{19 \times 3} + \frac{- 4}{57}$
$= \frac{- 24}{57} + \frac{- 4}{57}$
$= \frac{- 24 + (- 4)}{57}$
$= \frac{- 24 - 4}{57}$
$= \frac{- 28}{57}$

Hence $\frac{- 8}{19} + \frac{- 4}{57} = \frac{- 28}{57}$

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Subtraction of Fractions

Standard VI Mathematics

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Simplify (iv) −819+−457

To find: −819+−457 ∴ LCM of denominators 19 and 57=57 ⇒−819+−457=−8×319×3+−457 =−2457+−457 =−24+(−4)57 =−24−457 =−2857 Hence −819+−457=−2857

Simplify

(iv) $\frac{- 8}{19} + \frac{- 4}{57}$