Solve =173,2*(1/56)*25*7,9/2*380

$$= \frac { 173,2 \times ( 1 / 56 ) \times 25 \times 7,9 } { 2 \times 380 }$$

Evaluate

$$\frac{34207}{42560}\approx 0.803735902$$

Solution Steps

Cancel out 5 in both numerator and denominator.

$$\frac{\frac{1}{56}\times 5\times 7.9\times 173.2}{2\times 76}$$

Multiply \frac{1}{56} and 5 to get \frac{5}{56}.

$$\frac{\frac{5}{56}\times 7.9\times 173.2}{2\times 76}$$

Convert decimal number 7.9 to fraction \frac{79}{10}.

$$\frac{\frac{5}{56}\times \frac{79}{10}\times 173.2}{2\times 76}$$

Multiply \frac{5}{56} times \frac{79}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{5\times 79}{56\times 10}\times 173.2}{2\times 76}$$

Do the multiplications in the fraction \frac{5\times 79}{56\times 10}.

$$\frac{\frac{395}{560}\times 173.2}{2\times 76}$$

Reduce the fraction \frac{395}{560} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{79}{112}\times 173.2}{2\times 76}$$

Convert decimal number 173.2 to fraction \frac{1732}{10}. Reduce the fraction \frac{1732}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{79}{112}\times \frac{866}{5}}{2\times 76}$$

Multiply \frac{79}{112} times \frac{866}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{79\times 866}{112\times 5}}{2\times 76}$$

Do the multiplications in the fraction \frac{79\times 866}{112\times 5}.

$$\frac{\frac{68414}{560}}{2\times 76}$$

Reduce the fraction \frac{68414}{560} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{34207}{280}}{2\times 76}$$

Multiply 2 and 76 to get 152.

$$\frac{\frac{34207}{280}}{152}$$

Express \frac{\frac{34207}{280}}{152} as a single fraction.

$$\frac{34207}{280\times 152}$$

Multiply 280 and 152 to get 42560.

$$\frac{34207}{42560}$$

Factor

$$\frac{79 \cdot 433}{5 \cdot 7 \cdot 19 \cdot 2 ^ {6}} = 0.8037359022556391$$