Solve 7/1+(3/5-4/12)neq(36/45)

$$\frac { 7 } { 1 } + ( \frac { 3 } { 5 } - \frac { 4 } { 12 } ) \neq ( 3 \frac { 6 } { 45 } )$$

Verify

Solution Steps

Multiply both sides of the equation by 180, the least common multiple of 5,12,45.

$$180\times 7+108-15\times 4\neq 4\left(3\times 45+6\right)$$

Multiply 180 and 7 to get 1260. Multiply -15 and 4 to get -60.

$$1260+108-60\neq 4\left(3\times 45+6\right)$$

Add 1260 and 108 to get 1368.

$$1368-60\neq 4\left(3\times 45+6\right)$$

Subtract 60 from 1368 to get 1308.

$$1308\neq 4\left(3\times 45+6\right)$$

Multiply 3 and 45 to get 135.

$$1308\neq 4\left(135+6\right)$$

Add 135 and 6 to get 141.

$$1308\neq 4\times 141$$

Multiply 4 and 141 to get 564.

$$1308\neq 564$$

Compare 1308 and 564.

$$\text{true}$$