Solve 185/12+191/3+201/4=58

$$18 \frac { 5 } { 12 } + 19 \frac { 1 } { 3 } + 20 \frac { 1 } { 4 } = 58$$

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Solution Steps

Multiply both sides of the equation by 12, the least common multiple of 12,3,4.

$$18\times 12+5+4\left(19\times 3+1\right)+3\left(20\times 4+1\right)=696$$

Multiply 18 and 12 to get 216.

$$216+5+4\left(19\times 3+1\right)+3\left(20\times 4+1\right)=696$$

Add 216 and 5 to get 221.

$$221+4\left(19\times 3+1\right)+3\left(20\times 4+1\right)=696$$

Multiply 19 and 3 to get 57.

$$221+4\left(57+1\right)+3\left(20\times 4+1\right)=696$$

Add 57 and 1 to get 58.

$$221+4\times 58+3\left(20\times 4+1\right)=696$$

Multiply 4 and 58 to get 232.

$$221+232+3\left(20\times 4+1\right)=696$$

Add 221 and 232 to get 453.

$$453+3\left(20\times 4+1\right)=696$$

Multiply 20 and 4 to get 80.

$$453+3\left(80+1\right)=696$$

Add 80 and 1 to get 81.

$$453+3\times 81=696$$

Multiply 3 and 81 to get 243.

$$453+243=696$$

Add 453 and 243 to get 696.

$$696=696$$

Compare 696 and 696.

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