Solve 10.375*122/9=2*6/11

$$10.375 \times 12 \frac { 2 } { 9 } = 2 \times \frac { 6 } { 11 }$$

Verify

Solution Steps

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

$$114.125\left(12\times 9+2\right)=198\times \frac{6}{11}$$

Multiply 12 and 9 to get 108.

$$114.125\left(108+2\right)=198\times \frac{6}{11}$$

Add 108 and 2 to get 110.

$$114.125\times 110=198\times \frac{6}{11}$$

Multiply 114.125 and 110 to get 12553.75.

$$12553.75=198\times \frac{6}{11}$$

Express 198\times \frac{6}{11} as a single fraction.

$$12553.75=\frac{198\times 6}{11}$$

Multiply 198 and 6 to get 1188.

$$12553.75=\frac{1188}{11}$$

Divide 1188 by 11 to get 108.

$$12553.75=108$$

Compare 12553.75 and 108.

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