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Ответ:

LexyClaire

13.04.2023

Mathematics

Given:

The expression is:

$-6\dfrac{1}{4}-2\dfrac{1}{8}$

To find:

The simplified form of the given expression.

Solution:

We have,

$-6\dfrac{1}{4}-2\dfrac{1}{8}$

Write the mixed fractions in the form of improper fractions.

$=-\dfrac{6(4)+1}{4}-\dfrac{2(8)+1}{8}$

$=-\dfrac{24+1}{4}-\dfrac{16+1}{8}$

$=-\dfrac{25}{4}-\dfrac{17}{8}$

Taking LCM, we get

$=\dfrac{2(-25)-17}{8}$

$=\dfrac{-50-17}{8}$

$=\dfrac{-67}{8}$

Now write this improper fraction in the form of mixed fraction.

$=-\dfrac{64+3}{8}$

$=-\left(\dfrac{64}{8}+\dfrac{3}{8}\right)$

$=-\left(8+\dfrac{3}{8}\right)$

$=-8\dfrac{3}{8}$

Therefore, the correct option is B.

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