Solve -2/19--2/19+2/12=5-2/19

$$- \frac{ 2 }{ 19 } - \frac{ - \frac{ 2 }{ 19 } +2 }{ 12 } = 5- \frac{ 2 }{ 19 }$$

Verify

Solution Steps

Multiply both sides of the equation by 228, the least common multiple of 19,12.

$$-24-19\left(-\frac{2}{19}+2\right)=1140-24$$

Convert 2 to fraction \frac{38}{19}.

$$-24-19\left(-\frac{2}{19}+\frac{38}{19}\right)=1140-24$$

Since -\frac{2}{19} and \frac{38}{19} have the same denominator, add them by adding their numerators.

$$-24-19\times \frac{-2+38}{19}=1140-24$$

Add -2 and 38 to get 36.

$$-24-19\times \frac{36}{19}=1140-24$$

Multiply -19 times \frac{36}{19}.

$$-24-36=1140-24$$

Subtract 36 from -24 to get -60.

$$-60=1140-24$$

Subtract 24 from 1140 to get 1116.

$$-60=1116$$

Compare -60 and 1116.

$$\text{false}$$