Mathematics: Reduce to simplest form. -7/8 - (-5/6)

Reduce to simplest form. -7/8 - (-5/6) - id78561642809, isalih7256

Ответ:

mercedesamatap21hx0

15.03.2022

Mathematics

$\large\boxed{-\dfrac{7}{8}-\left(-\dfrac{5}{6}\right)=-\dfrac{1}{24}}$

Step-by-step explanation:

First step:

Find LCD (Least Common Denominator).

List of multiples of 8: 0, 8, 16, 24, 32, ...

List of multiples of 6: 0, 6, 12, 18, 24, 30, ...

LCD = 24

$\dfrac{7}{8}=\dfrac{7\cdot3}{8\cdot#}=\dfrac{21}{24}\\\\\dfrac{5}{6}=\dfrac{5\cdot4}{6\cdot4}=\dfrac{20}{24}$

We know: (-)(-) = (+), (+)(+) = (+), (-)(+) = (+)(-) = (-)

Therefore:

$-\dfrac{7}{8}-\left(-\dfrac{5}{6}\right)=-\dfrac{7}{8}+\dfrac{5}{6}=-\dfrac{21}{24}+\dfrac{20}{24}=\dfrac{20}{24}+\left(-\dfrac{21}{24}\right)\\\\=\dfrac{20}{24}-\dfrac{21}{24}=-\dfrac{1}{24}$

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Ответ:

mccdp55

04.05.2021

Mathematics

the first dot is on 2 for number of sprays and 30 for time

so the expression would be number of sprays over time so 2 over 30

2/30 that would reduce to 1/15 meaning each spray happens every 15 minutes

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Reduce to simplest form. -7/8 - (-5/6)

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