Solve (9/25-2*18)div(34/2+0.2)

$$( \frac{ 9 }{ 25 } -2 \times 18) \div (3 \frac{ 4 }{ 2 } +0.2)$$

Evaluate

$$-\frac{891}{130}\approx -6.853846154$$

Solution Steps

Multiply 2 and 18 to get 36.

$$\frac{\frac{9}{25}-36}{\frac{3\times 2+4}{2}+0.2}$$

Convert 36 to fraction \frac{900}{25}.

$$\frac{\frac{9}{25}-\frac{900}{25}}{\frac{3\times 2+4}{2}+0.2}$$

Since \frac{9}{25} and \frac{900}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{9-900}{25}}{\frac{3\times 2+4}{2}+0.2}$$

Subtract 900 from 9 to get -891.

$$\frac{-\frac{891}{25}}{\frac{3\times 2+4}{2}+0.2}$$

Multiply 3 and 2 to get 6.

$$\frac{-\frac{891}{25}}{\frac{6+4}{2}+0.2}$$

Add 6 and 4 to get 10.

$$\frac{-\frac{891}{25}}{\frac{10}{2}+0.2}$$

Divide 10 by 2 to get 5.

$$\frac{-\frac{891}{25}}{5+0.2}$$

Add 5 and 0.2 to get 5.2.

$$\frac{-\frac{891}{25}}{5.2}$$

Express \frac{-\frac{891}{25}}{5.2} as a single fraction.

$$\frac{-891}{25\times 5.2}$$

Multiply 25 and 5.2 to get 130.

$$\frac{-891}{130}$$

Fraction \frac{-891}{130} can be rewritten as -\frac{891}{130} by extracting the negative sign.

$$-\frac{891}{130}$$

Factor

$$-\frac{891}{130} = -6\frac{111}{130} = -6.8538461538461535$$