Solve -12/9+(-21/11)=-320/99

$$- 1 \frac { 2 } { 9 } + ( - 2 \frac { 1 } { 11 } ) = - 3 \frac { 20 } { 99 }$$

Verify

Solution Steps

Multiply both sides of the equation by 99, the least common multiple of 9,11,99.

$$-11\left(9+2\right)-9\left(2\times 11+1\right)=-\left(3\times 99+20\right)$$

Add 9 and 2 to get 11.

$$-11\times 11-9\left(2\times 11+1\right)=-\left(3\times 99+20\right)$$

Multiply -11 and 11 to get -121.

$$-121-9\left(2\times 11+1\right)=-\left(3\times 99+20\right)$$

Multiply 2 and 11 to get 22.

$$-121-9\left(22+1\right)=-\left(3\times 99+20\right)$$

Add 22 and 1 to get 23.

$$-121-9\times 23=-\left(3\times 99+20\right)$$

Multiply -9 and 23 to get -207.

$$-121-207=-\left(3\times 99+20\right)$$

Subtract 207 from -121 to get -328.

$$-328=-\left(3\times 99+20\right)$$

Multiply 3 and 99 to get 297.

$$-328=-\left(297+20\right)$$

Add 297 and 20 to get 317.

$$-328=-317$$

Compare -328 and -317.

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