Math, asked by vimal1010, 1 month ago

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Answered by 12thpáìn
74

Given

  •  \sf - 5 +  \dfrac{3}{10}  +  \dfrac{3}{7 }  +  \ \dfrac{5}{14} + ( - 3)  +  \dfrac{7}{20}

To Find

  • Sun Of The given Fraction

Step By step Explanation

\implies \sf - 5 +  \dfrac{3}{10}  +  \dfrac{3}{7 }  +  \ \dfrac{5}{14} + ( - 3)  +  \dfrac{7}{20}

\implies \sf   \dfrac{3}{10}  +  \dfrac{3}{7 }  +  \ \dfrac{5}{14}   +  \dfrac{7}{20}  - 3 - 5

\implies \sf   \dfrac{3}{10}  +  \dfrac{3}{7 }  +  \ \dfrac{5}{14}   +  \dfrac{7}{20}   - 8\\

Taking LCM of 10, 7, 14 and 20

 \implies\sf \:  \dfrac{(3 \times  98) + (3 \times 140) + (5 \times 70) + (7 \times 49) - (8 \times 980)}{980}\\\\\implies\sf \:  \dfrac{294 + 420+ 350+ 343 - 7840}{980}\\\\\implies \sf \:  \dfrac{6433}{980}\\\\\implies \sf \:  \dfrac{919}{140}

  • \underline{\boxed{ \sf \: The \:  Sum \:  Of \:  the \:  Given \:  Fractions \:  Is  \: ~~ \dfrac{919}{140} }}
Answered by badolamamta68
1

Step-by-step explanation:

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