Solve 5(-2/19)/2=(-2/19)-(-frac{2/19)}{12}-frac{1}{6}=

$$\frac { 5 ( - \frac { 2 } { 19 } ) } { 2 } = ( - \frac { 2 } { 19 } ) - \frac { ( - \frac { 2 } { 19 } ) } { 12 } - \frac { 1 } { 6 } =$$

Verify

Solution Steps

Multiply both sides of the equation by 228, the least common multiple of 2,19,12,6.

$$114\times 5\left(-\frac{2}{19}\right)=-24-19\left(-\frac{2}{19}\right)-38$$

Multiply 114 and 5 to get 570.

$$570\left(-\frac{2}{19}\right)=-24-19\left(-\frac{2}{19}\right)-38$$

Express 570\left(-\frac{2}{19}\right) as a single fraction.

$$\frac{570\left(-2\right)}{19}=-24-19\left(-\frac{2}{19}\right)-38$$

Multiply 570 and -2 to get -1140.

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

Divide -1140 by 19 to get -60.

$$-60=-24-19\left(-\frac{2}{19}\right)-38$$

Multiply -19 times -\frac{2}{19}.

$$-60=-24+2-38$$

Add -24 and 2 to get -22.

$$-60=-22-38$$

Subtract 38 from -22 to get -60.

$$-60=-60$$

Compare -60 and -60.

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