Solve (4(12/38))+(-2(26/38))

$$(4( \frac{ 12 }{ 38 } ))+(-2( \frac{ 26 }{ 38 } ))$$

Evaluate

$$-\frac{2}{19}\approx -0.105263158$$

Solution Steps

Reduce the fraction \frac{12}{38} to lowest terms by extracting and canceling out 2.

$$4\times \frac{6}{19}-2\times \frac{26}{38}$$

Express 4\times \frac{6}{19} as a single fraction.

$$\frac{4\times 6}{19}-2\times \frac{26}{38}$$

Multiply 4 and 6 to get 24.

$$\frac{24}{19}-2\times \frac{26}{38}$$

Reduce the fraction \frac{26}{38} to lowest terms by extracting and canceling out 2.

$$\frac{24}{19}-2\times \frac{13}{19}$$

Express -2\times \frac{13}{19} as a single fraction.

$$\frac{24}{19}+\frac{-2\times 13}{19}$$

Multiply -2 and 13 to get -26.

$$\frac{24}{19}+\frac{-26}{19}$$

Fraction \frac{-26}{19} can be rewritten as -\frac{26}{19} by extracting the negative sign.

$$\frac{24}{19}-\frac{26}{19}$$

Since \frac{24}{19} and \frac{26}{19} have the same denominator, subtract them by subtracting their numerators.

$$\frac{24-26}{19}$$

Subtract 26 from 24 to get -2.

$$-\frac{2}{19}$$

Factor

$$-\frac{2}{19} = -0.10526315789473684$$