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

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