Question

what number should be added to 2/3+3/5 to get -1/6 ?​

Answer 1

11/10 must be added to get the desired no.

Answer 2

The given question we have to find the number that should be added to the expression to get a fractional number.

The given expression is

$\frac{2}{3} + \frac{3}{5} + x = \frac{ - 1}{6}$

we have to find the value of x.

The value in the right side is move on to the left with the change in the signature.

Therefore, we have

$\frac{2}{3} + \frac{3}{5} + \frac{1}{6} = - x$

we have to take the LCM for the given expression.

The LCM is 30.

so on making the denominator equal to 60 we have to multiply all terms with certain numbers.

$(\frac{2}{3} \times 10) + ( \frac{3}{5} \times 6) + ( \frac{1}{6} \times 5) = - x$

on multiplying with these numbers we get

$\frac{(20 + 18 + 5)}{30} = - x$

$\frac{43}{30} = - x$

$x = \frac{ - 43}{30}$

Therefore, the value of x is

$\frac{ - 43}{30}$

we can also verify this value by substituting in the place of x.

we. have

$\frac{2}{3} + \frac{3}{5} - \frac{43}{30} \\ = \frac{(20 + 18 - 43)}{30} \\ = \frac{38 - 43}{30} \\ = \frac{ - 5}{30} \\ = \frac{ - 1}{6}$

Hence verified.

Therefore , the value of x is -43/30.

# spj2

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