Math, asked by sumanpreet9612, 2 months ago

solve -2/5 + 3/10 -4/5​

Answers

Answered by india194724
1

Answer:

all the best . I wish this answer may help u

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Answered by TwilightShine
6

Answer :-

  • The answer is -9/10.

Solution :-

 \sf \dfrac{-2}{\:\:\:5}  +  \dfrac{3}{10}  -  \dfrac{4}{5}

The LCM of 5, 10 and 5 is 10.

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Therefore :-

 \sf \dfrac{-2 \times 2 + 3 \times 1 - 4 \times 2}{10}

On simplifying,

  \sf\dfrac{-4 + 3 - 8}{10}

Applying the BODMAS rule and adding 3 to -4 first,

 \sf \dfrac{-1 - 8}{10}

Subtracting 8 from -1,

 \sf \dfrac{ - 9}{ \: 10}

 \\

 \bf Hence \: solved!

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Know more :-

What is LCM?

  • LCM can be defined as the smallest multiple which is common in two or more numbers. That is why the full form of LCM is Lowest Common Multiple.

How to find the LCM?

  • We can find the LCM of two or more numbers using prime factorisation method. First we find all the prime factors of the given numbers and then multiply them to find the LCM of the numbers.

An example :-

  • Find the LCM of 4 and 8.

Prime factorisation of 4 and 8 :-

 \begin{array}{c | c}  \underline{2 }&  \underline{4 \: , 8} \\  \underline2& \underline{2 \:  ,4} \\  \underline2 & \underline{1 \: ,2} \\ & 1, \: 1\end{array}

Now :-

  • We multiply all the prime factors to find the LCM.

Hence :-

  • The LCM of 4 and 8 = 2 × 2 × 2 = 8.
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