Question

S Simpify 3/4 + (-5) + 4/15 - (-2)/3​

Answer 1

Given:

$\frac{3}{4} + (-5) + \frac{4}{15} - \frac{(-2)}{3}$

To solve the given equation first open the bracket and then solve it

$=\frac{3}{4} -5 +\frac{4}{15} +\frac{2}{3}$

make the pair of them

$=(\frac{3}{4} -5) + (\frac{4}{15} + \frac{2}{3} )$

solve it by cross multiplication

$=(\frac{3-5*4}{4} )+(\frac{4*3+15*2}{15*3} )$

$=(\frac{3-20}{4})+(\frac{12+30}{45})$

$=\frac{-17}{4} + \frac{42}{45}$

$=\frac{-17 * 45 + 42 * 4}{45*4}$

$=\frac{-765 + 168}{180}$

$=\frac{-597}{180}$

=-3.316

Hence the answer is -3.316

Answer 2

As per data given in the question,

We have to simplify the equation   $\frac{3}{4}+(-5)+\frac{4}{15}-\frac{(-2)}{3}$

For solving the given equation,

Let us rewrite the given equation after opening the bracket.

So, equation becomes,  

 $\frac{3}{4}-5+\frac{4}{15}+\frac{2}{3}$

As the fractions have different denumerator, so for solving the all the fractions, we will determine the LCM of all the denumerator.

So, the equation becomes,

$=\left(\frac{3-5 * 4}{4}\right)+\left(\frac{4 * 3+15 * 2}{15 * 3}\right) \\=\left(\frac{3-20}{4}\right)+\left(\frac{12+30}{45}\right) \\=\frac{-17}{4}+\frac{42}{45} \\=\frac{-17 * 45+42 * 4}{45 * 4} \\=\frac{-765+168}{180} \\=\frac{-597}{180} \\\frac{199}{60}$