Question

what should be added to 15 2/3 to get 11 2/3

Answer 1

Answer:

-4 2/3 should be added to 15 2/3

Answer 2

Let's work backwards.

We have an incomplete equation,

$15\frac{2}{3} + x = 11\frac{2}{3}$

We need to find $x$ which is the mystery number who, when added to  $15 \frac{2}{3}$ gives $11 \frac{2}{3}$

To solve this, we'll transpose the $15 \frac{2}{3}$ to the R.H.S

$x = 11 \frac{2}3 - 15 \frac{2}3$

Now, we can simplify both of the complex fractions by multiplying the whole number by the denominator and adding it to the numerator

$x = \frac{35}3 - \frac{47}3$

Now, we can subtract easily

$x = \frac{35-47}{3}$

$x = -\frac{12}{3}$

We can simplify the fraction as well

$x = -4$

∴ The missing mystery number is -4

Verifying our answer:

$15\frac{2}{3} + x = 11\frac{2}{3}$

We now know the value of x, so we can replace it

$15\frac{2}{3} + (-4) = 11\frac{2}{3}$

$15\frac{2}{3} -4 = 11\frac{2}{3}$

$11\frac{2}{3} = 11\frac{2}{3}$

∴ Hence Proved, L.H.S = R.H.S

Hope this Helped! Stay Safe & Stay Sanitized! <3