Solve 1.2*(160-17*2)div(1.2+2*0.3tan(25^circ))=

$$1.2 \times (160-17 \times 2) \div (1.2+2 \times 0.3 \tan ( 25 ^ { \circ } ) )=$$

Evaluate

$$\frac{1260000000000000000}{12331538290774993}\approx 102.177033415$$

Solution Steps

Evaluate trigonometric functions in the problem

$$1.2 \cdot {(160 - 17 \cdot 2)} / {(1.2 + 2 \cdot 0.3 \cdot 0.4663076581549986)}$$

Multiply 17 and 2 to get 34.

$$\frac{1.2\left(160-34\right)}{1.2+2\times 0.3\times 0.4663076581549986}$$

Subtract 34 from 160 to get 126.

$$\frac{1.2\times 126}{1.2+2\times 0.3\times 0.4663076581549986}$$

Multiply 1.2 and 126 to get 151.2.

$$\frac{151.2}{1.2+2\times 0.3\times 0.4663076581549986}$$

Multiply 2 and 0.3 to get 0.6.

$$\frac{151.2}{1.2+0.6\times 0.4663076581549986}$$

Multiply 0.6 and 0.4663076581549986 to get 0.27978459489299916.

$$\frac{151.2}{1.2+0.27978459489299916}$$

Add 1.2 and 0.27978459489299916 to get 1.47978459489299916.

$$\frac{151.2}{1.47978459489299916}$$

Expand \frac{151.2}{1.47978459489299916} by multiplying both numerator and the denominator by 100000000000000000.

$$\frac{15120000000000000000}{147978459489299916}$$

Reduce the fraction \frac{15120000000000000000}{147978459489299916} to lowest terms by extracting and canceling out 12.

$$\frac{1260000000000000000}{12331538290774993}$$

Factor

$$\frac{7 \cdot 2 ^ {17} \cdot 3 ^ {2} \cdot 5 ^ {16}}{390433 \cdot 31584262321} = 102\frac{2183094340950816}{12331538290774992} = 102.17703341541615$$