Evaluate - -45-32 - 9-5-103 - -32-14

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Byju's Answer

Standard VII

Mathematics

Addition of Rational Numbers

Evaluate : -...

Question

Evaluate :
$(\frac{- 4}{5} \times \frac{3}{2}) + (\frac{9}{- 5} \times \frac{10}{3}) - (\frac{- 3}{2} \times \frac{- 1}{4})$

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Solution

$(\frac{- 4}{5} \times \frac{3}{2}) + (\frac{9}{- 5} \times \frac{10}{3}) - (\frac{- 3}{2} \times \frac{- 1}{4})$
It can be written as
$= \frac{- 2 \times 3}{5 \times 1} + \frac{3 \times 2}{- 1 \times 1} - \frac{- 3 \times - 1}{2 \times 4}$
By further calculation
$= \frac{- 6}{5} + \frac{- 6}{1} - \frac{3}{8}$
LCM of $5, 1$ and $8$ is $40$
$= \frac{- 6 \times 8}{5 \times 8} - \frac{6 \times 40}{1 \times 40} - \frac{3 \times 5}{8 \times 5}$
So we get
$= \frac{- 48 - 240 - 15}{40}$
$= \frac{- 303}{40}$

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Evaluate :(−45×32)+(9−5×103)−(−32×−14)

(−45×32)+(9−5×103)−(−32×−14) It can be written as =−2×35×1+3×2−1×1−−3×−12×4 By further calculation =−65+−61−38 LCM of 5,1 and 8 is 40 =−6×85×8−6×401×40−3×58×5So we get =−48−240−1540 =−30340

Evaluate :
$(\frac{- 4}{5} \times \frac{3}{2}) + (\frac{9}{- 5} \times \frac{10}{3}) - (\frac{- 3}{2} \times \frac{- 1}{4})$