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

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

Verify

Solution Steps

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

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

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

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

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

$$24-19\times \frac{2+38}{19}=114\times \frac{5\times 19+2}{19}$$

Add 2 and 38 to get 40.

$$24-19\times \frac{40}{19}=114\times \frac{5\times 19+2}{19}$$

Multiply -19 times \frac{40}{19}.

$$24-40=114\times \frac{5\times 19+2}{19}$$

Subtract 40 from 24 to get -16.

$$-16=114\times \frac{5\times 19+2}{19}$$

Multiply 5 and 19 to get 95.

$$-16=114\times \frac{95+2}{19}$$

Add 95 and 2 to get 97.

$$-16=114\times \frac{97}{19}$$

Express 114\times \frac{97}{19} as a single fraction.

$$-16=\frac{114\times 97}{19}$$

Multiply 114 and 97 to get 11058.

$$-16=\frac{11058}{19}$$

Divide 11058 by 19 to get 582.

$$-16=582$$

Compare -16 and 582.

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