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[tex] \frac{3}{7} +( \frac{ - 6}{11} ) + ( \frac{ - 8}{21} ) + ( \frac{5}{22} )[/tex]

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Sagot :

answer:

[tex]\sf -\dfrac{125}{462}[/tex]

step by step explanation:

[tex]\hookrightarrow \sf \dfrac{3}{7} +(-\dfrac{6}{11} ) +(-\dfrac{8}{21} ) +\dfrac{5}{22}[/tex]

\\ rewrite \\

[tex]\hookrightarrow \sf \dfrac{3}{7}-\dfrac{6}{11}-\dfrac{8}{21}+\dfrac{5}{22}[/tex]

\\ least common multiplier of 7, 11, 21, 22 is 462 \\

\\ simplify \\

[tex]\hookrightarrow \sf \dfrac{198}{462}-\dfrac{252}{462}-\dfrac{176}{462}+\dfrac{105}{462}[/tex]

\\ join the fractions together \\

[tex]\hookrightarrow \sf \dfrac{198-252-176+105}{462}[/tex]

\\ simplify - add and subtract\\

[tex]\hookrightarrow \sf \dfrac{-125}{462}[/tex]

\\ simplify by 3 \\

[tex]\sf -\dfrac{125}{462}[/tex]