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belka [17]
2 years ago
6

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}

<u>remove parenthesis</u>

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

<u>all the denominators has a common multiple of 108</u>

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

<u>simplify</u>

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

<u>join the fractions</u>

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

<u>simplify</u>

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

<u>simplify</u>

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

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