Solve 2*5-1/3*25-frac{9*5{0.75+0.50}}

$$2 \cdot 5 - \frac { 1 } { 3 \cdot 25 - \frac { 9 \cdot 5 } { 0.75 + 0.50 } }$$

Evaluate

$$\frac{389}{39}\approx 9.974358974$$

Solution Steps

Multiply 2 and 5 to get 10.

$$10-\frac{1}{3\times 25-\frac{9\times 5}{0.75+0.5}}$$

Multiply 3 and 25 to get 75.

$$10-\frac{1}{75-\frac{9\times 5}{0.75+0.5}}$$

Multiply 9 and 5 to get 45.

$$10-\frac{1}{75-\frac{45}{0.75+0.5}}$$

Add 0.75 and 0.5 to get 1.25.

$$10-\frac{1}{75-\frac{45}{1.25}}$$

Expand \frac{45}{1.25} by multiplying both numerator and the denominator by 100.

$$10-\frac{1}{75-\frac{4500}{125}}$$

Divide 4500 by 125 to get 36.

$$10-\frac{1}{75-36}$$

Subtract 36 from 75 to get 39.

$$10-\frac{1}{39}$$

Convert 10 to fraction \frac{390}{39}.

$$\frac{390}{39}-\frac{1}{39}$$

Since \frac{390}{39} and \frac{1}{39} have the same denominator, subtract them by subtracting their numerators.

$$\frac{390-1}{39}$$

Subtract 1 from 390 to get 389.

$$\frac{389}{39}$$

Factor

$$\frac{389}{3 \cdot 13} = 9\frac{38}{39} = 9.974358974358974$$