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

Mathematics

2 answers:

alexandr1967 [171]3 years ago

7 0

Step-by-step explanation:

please mark me as brainlest

DENIUS [597]3 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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