Solve 2*5-1/3*25-frac{2.5{0.75+0.5}}

$$2 \cdot 5- \frac{ 1 }{ 3 \cdot 25- \frac{ 2.5 }{ 0.75+0.5 } }$$

Evaluate

$$\frac{729}{73}\approx 9.98630137$$

Solution Steps

Multiply 2 and 5 to get 10.

$$10-\frac{1}{3\times 25-\frac{2.5}{0.75+0.5}}$$

Multiply 3 and 25 to get 75.

$$10-\frac{1}{75-\frac{2.5}{0.75+0.5}}$$

Add 0.75 and 0.5 to get 1.25.

$$10-\frac{1}{75-\frac{2.5}{1.25}}$$

Expand \frac{2.5}{1.25} by multiplying both numerator and the denominator by 100.

$$10-\frac{1}{75-\frac{250}{125}}$$

Divide 250 by 125 to get 2.

$$10-\frac{1}{75-2}$$

Subtract 2 from 75 to get 73.

$$10-\frac{1}{73}$$

Convert 10 to fraction \frac{730}{73}.

$$\frac{730}{73}-\frac{1}{73}$$

Since \frac{730}{73} and \frac{1}{73} have the same denominator, subtract them by subtracting their numerators.

$$\frac{730-1}{73}$$

Subtract 1 from 730 to get 729.

$$\frac{729}{73}$$

Factor

$$\frac{3 ^ {6}}{73} = 9\frac{72}{73} = 9.986301369863014$$