Manuel works at a weather station with extremely accurate equipment. his car’s sensor said the temperature was 30 degrees, but when he checked the actual temperature at work, it was 28.8 degrees. what was the percent error for his car’s sensor?

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hhhhhhhhhhhhhhh1509

16.07.2021

Mathematics

$\implies {\blue {\boxed {\boxed {\purple {\sf { \frac{ - 21}{10} \:(or) \: - 2 \frac{1}{10} }}}}}}$

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}$

$\frac{8}{ - 5} + ( \frac{ - 1}{2} )$

$\\= \frac{ - 8}{5} - \frac{1}{2}$

Since the denominators are unequal, we find the L.C.M (lowest common multiple) for both denominators.

The L. C. M for 5 and 2 is 10.

Now, multiply the L.C.M. with both numerator & denominator.

$\\ = \frac{ - 8 \times 2}{5 \times 2} - \frac{1 \times 5}{2 \times 5}$

$\\= \frac{ - 16}{10} - \frac{5}{10}$

Now that the denominators are equal, we can subtract the numerators.

$\\= \frac{ - 16 - 5}{10}$

$\\= \frac{ - 21}{10}$

$\\= - 2 \frac{1}{10}$

$\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♨}}}}}$

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