Solve 97/12-?+11/6=41/2

$$9 \frac { 7 } { 12 } - ? + 1 \frac { 1 } { 6 } = 4 \frac { 1 } { 2 }$$

Verify

Solution Steps

Multiply both sides of the equation by 12, the least common multiple of 12,6,2.

$$9\times 12+7-2\left(6+1\right)=6\left(4\times 2+1\right)$$

Multiply 9 and 12 to get 108.

$$108+7-2\left(6+1\right)=6\left(4\times 2+1\right)$$

Add 108 and 7 to get 115.

$$115-2\left(6+1\right)=6\left(4\times 2+1\right)$$

Add 6 and 1 to get 7.

$$115-2\times 7=6\left(4\times 2+1\right)$$

Multiply -2 and 7 to get -14.

$$115-14=6\left(4\times 2+1\right)$$

Subtract 14 from 115 to get 101.

$$101=6\left(4\times 2+1\right)$$

Multiply 4 and 2 to get 8.

$$101=6\left(8+1\right)$$

Add 8 and 1 to get 9.

$$101=6\times 9$$

Multiply 6 and 9 to get 54.

$$101=54$$

Compare 101 and 54.

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