Solve 5/6+3/4-2/3=5*2+3*3/12-frac{2}{3}

$$\frac { 5 } { 6 } + \frac { 3 } { 4 } - \frac { 2 } { 3 } = \frac { 5 \times 2 + 3 \times 3 } { 12 } - \frac { 2 } { 3 }$$

Verify

Solution Steps

Multiply both sides of the equation by 12, the least common multiple of 6,4,3,12.

$$10+9-8=5\times 2+3\times 3-8$$

Add 10 and 9 to get 19.

$$19-8=5\times 2+3\times 3-8$$

Subtract 8 from 19 to get 11.

$$11=5\times 2+3\times 3-8$$

Multiply 5 and 2 to get 10. Multiply 3 and 3 to get 9.

$$11=10+9-8$$

Add 10 and 9 to get 19.

$$11=19-8$$

Subtract 8 from 19 to get 11.

$$11=11$$

Compare 11 and 11.

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