Solve (6,25-3,75)*0,8/(4-2,75):6,25+(2,5+0,75):3,25/(40-38,8)*5

$$\frac { ( 6,25 - 3,75 ) \cdot 0,8 } { ( 4 - 2,75 ) : 6,25 } + \frac { ( 2,5 + 0,75 ) : 3,25 } { ( 40 - 38,8 ) \cdot 5 }$$

Evaluate

$$\frac{61}{6}\approx 10,166666667$$

Solution Steps

Subtract 3,75 from 6,25 to get 2,5.

$$\frac{2,5\times 0,8}{\frac{4-2,75}{6,25}}+\frac{\frac{2,5+0,75}{3,25}}{\left(40-38,8\right)\times 5}$$

Multiply 2,5 and 0,8 to get 2.

$$\frac{2}{\frac{4-2,75}{6,25}}+\frac{\frac{2,5+0,75}{3,25}}{\left(40-38,8\right)\times 5}$$

Subtract 2,75 from 4 to get 1,25.

$$\frac{2}{\frac{1,25}{6,25}}+\frac{\frac{2,5+0,75}{3,25}}{\left(40-38,8\right)\times 5}$$

Expand \frac{1,25}{6,25} by multiplying both numerator and the denominator by 100.

$$\frac{2}{\frac{125}{625}}+\frac{\frac{2,5+0,75}{3,25}}{\left(40-38,8\right)\times 5}$$

Reduce the fraction \frac{125}{625} to lowest terms by extracting and canceling out 125.

$$\frac{2}{\frac{1}{5}}+\frac{\frac{2,5+0,75}{3,25}}{\left(40-38,8\right)\times 5}$$

Divide 2 by \frac{1}{5} by multiplying 2 by the reciprocal of \frac{1}{5}.

$$2\times 5+\frac{\frac{2,5+0,75}{3,25}}{\left(40-38,8\right)\times 5}$$

Multiply 2 and 5 to get 10.

$$10+\frac{\frac{2,5+0,75}{3,25}}{\left(40-38,8\right)\times 5}$$

Add 2,5 and 0,75 to get 3,25.

$$10+\frac{\frac{3,25}{3,25}}{\left(40-38,8\right)\times 5}$$

Divide 3,25 by 3,25 to get 1.

$$10+\frac{1}{\left(40-38,8\right)\times 5}$$

Subtract 38,8 from 40 to get 1,2.

$$10+\frac{1}{1,2\times 5}$$

Multiply 1,2 and 5 to get 6.

$$10+\frac{1}{6}$$

Convert 10 to fraction \frac{60}{6}.

$$\frac{60}{6}+\frac{1}{6}$$

Since \frac{60}{6} and \frac{1}{6} have the same denominator, add them by adding their numerators.

$$\frac{60+1}{6}$$

Add 60 and 1 to get 61.

$$\frac{61}{6}$$

Factor

$$\frac{61}{2 \cdot 3} = 10\frac{1}{6} = 10.166666666666666$$