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2 years ago

Simplify: -7/9-(-5/12)+1/3.

Mathematics

2 answers:

alexandr1967 [171]2 years ago

7 0

Step-by-step explanation:

please mark me as brainlest

DENIUS [597]2 years ago

5 0

Answer:

$\sf -\dfrac{1}{36}$

Explanation:

$\rightarrow \sf -\dfrac{7}{9} -(-\dfrac{5}{12} )+\dfrac{1}{3}$

remove parenthesis

$\rightarrow \sf -\dfrac{7}{9} +\dfrac{5}{12} +\dfrac{1}{3}$

all the denominators has a common multiple of 108

$\rightarrow \sf -\dfrac{7(12)}{108} +\dfrac{5(9)}{108} +\dfrac{1(36)}{108}$

simplify

$\rightarrow \sf \dfrac{-84}{108} +\dfrac{45}{108} +\dfrac{36}{108}$

join the fractions

$\rightarrow \sf \dfrac{-84+45+36}{108}$

simplify

$\rightarrow \sf \dfrac{-3}{108}$

simplify

$\rightarrow \sf -\dfrac{1}{108}$

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Step-by-step explanation:

In mathematics there are rules related to complex numbers, specifically in the case of addition and multiplication:

Addition:

If we have two complex numbers written in their binomial form, the sum of both will be a complex number whose real part is the sum of the real parts and whose imaginary part is the sum of the imaginary parts (similarly as the sum of two binomials).

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Similarly, the addition of two complex numbers is:

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Multiplication:

If we have two complex numbers written in their binomial form, the multiplication of both will be the same as the multiplication (product) of two binomials, taking into account that $i^{2}=-1$ .

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Simplify: -7/9-(-5/12)+1/3. ​

Simplify: -7/9-(-5/12)+1/3.