Solve -81/4+52/3=-27/17

$$- 8 \frac { 1 } { 4 } + 5 \frac { 2 } { 3 } = - 2 \frac { 7 } { 17 }$$

Verify

Solution Steps

Multiply both sides of the equation by 204, the least common multiple of 4,3,17.

$$-51\left(8\times 4+1\right)+68\left(5\times 3+2\right)=-12\left(2\times 17+7\right)$$

Multiply 8 and 4 to get 32.

$$-51\left(32+1\right)+68\left(5\times 3+2\right)=-12\left(2\times 17+7\right)$$

Add 32 and 1 to get 33.

$$-51\times 33+68\left(5\times 3+2\right)=-12\left(2\times 17+7\right)$$

Multiply -51 and 33 to get -1683.

$$-1683+68\left(5\times 3+2\right)=-12\left(2\times 17+7\right)$$

Multiply 5 and 3 to get 15.

$$-1683+68\left(15+2\right)=-12\left(2\times 17+7\right)$$

Add 15 and 2 to get 17.

$$-1683+68\times 17=-12\left(2\times 17+7\right)$$

Multiply 68 and 17 to get 1156.

$$-1683+1156=-12\left(2\times 17+7\right)$$

Add -1683 and 1156 to get -527.

$$-527=-12\left(2\times 17+7\right)$$

Multiply 2 and 17 to get 34.

$$-527=-12\left(34+7\right)$$

Add 34 and 7 to get 41.

$$-527=-12\times 41$$

Multiply -12 and 41 to get -492.

$$-527=-492$$

Compare -527 and -492.

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