Evaluate:
$|\frac{2}{5} + (\frac{- 7}{10})|$

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Solution

Given : $|\frac{2}{5} + (\frac{- 7}{10})|$
To convert them in equivalent form take LCM of the denominator.
LCM of $5$ and $10$ is $10$ .
Now convert both fractions into equivalent fractions with denominator $10$ .
$\Rightarrow \frac{2 \times 2}{5 \times 2} = \frac{4}{10}$ and $\frac{7 \times 1}{10 \times 1} = \frac{7}{10}$
So, $|\frac{4}{10} - \frac{7}{10}|$
$= |\frac{4 - 7}{10}| = |\frac{- 3}{10}|$
$= \frac{3}{10}$ $[∵ |\pm a| = a]$
Hence, $|\frac{4}{10} - \frac{7}{10}| = \frac{3}{10}$ .

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Evaluate:25+-710

Given : 25+-710To convert them in equivalent form take LCM of the denominator.LCM of 5 and 10 is 10. Now convert both fractions into equivalent fractions with denominator 10.⇒2×25×2=410 and 7×110×1=710So, 410-710=4-710=-310=310 ∵±a=aHence, 410-710=310.

Evaluate:
$|\frac{2}{5} + (\frac{- 7}{10})|$