Question

dose anyone knows the answer
Evaluate -2/5 - x + (-9/10) where x =4/5

Answer 1

★ How to do :-

Here, we are given with two fractions and a variable x. We are also given with the value of the variable x. We are asked to evaluate those fractions. We have two arithmetic operations such as subtraction and addition. According to the rule of BODMAS, first we should add the fractions. After adding the fractions, we should subtract the other fraction with the answer obtained while adding. So, let's solve!!

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➤ Solution :-

${\tt \leadsto \dfrac{(-2)}{5} - (x) + \dfrac{(-9)}{10}}$

Substitute the value of x.

${\tt \leadsto \dfrac{(-2)}{5} - \dfrac{4}{5} + \dfrac{(-9)}{10}}$

Add the fractions first...

${\tt \leadsto \dfrac{4}{5} + \dfrac{(-9)}{10}}$

LCM of 5 and 10 is 10.

${\tt \leadsto \dfrac{4 \times 2}{5 \times 2} + \dfrac{(-9)}{10}}$

Multiply the numerator and denominator of first fractions.

${\tt \leadsto \dfrac{8}{10} + \dfrac{(-9)}{10}}$

Add both the numerators of these fractions.

${\tt \leadsto \dfrac{8 + (-9)}{10} = \dfrac{(-1)}{10}}$

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Now, subtract other fractions by inserting the answer obtained in it's place.

${\tt \leadsto \dfrac{(-2)}{5} - \dfrac{(-1)}{10}}$

LCM of 5 and 10 is 10.

${\tt \leadsto \dfrac{(-2) \times 2}{5 \times 2} - \dfrac{(-1)}{10}}$

Multiply the numerator and denominator of first fraction.

${\tt \leadsto \dfrac{(-4)}{10} - \dfrac{(-1)}{10}}$

Subtract both the numerators of these fractions to get the answer.

${\tt \leadsto \dfrac{(-4) - (-1)}{10} = \pink{\underline{\boxed{\tt \dfrac{(-3)}{10}}}}}$

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Hence solved !!