Solve 35+((10-7)/10-7+10-4(5))

$$35 + ( \frac { ( 10 - 7 ) } { 10 - 7 + 10 - 4 ( 5 ) } )$$

Evaluate

$$\frac{242}{7}\approx 34.571428571$$

Solution Steps

Subtract 7 from 10 to get 3.

$$35+\frac{3}{10-7+10-4\times 5}$$

Subtract 7 from 10 to get 3.

$$35+\frac{3}{3+10-4\times 5}$$

Add 3 and 10 to get 13.

$$35+\frac{3}{13-4\times 5}$$

Multiply 4 and 5 to get 20.

$$35+\frac{3}{13-20}$$

Subtract 20 from 13 to get -7.

$$35+\frac{3}{-7}$$

Fraction \frac{3}{-7} can be rewritten as -\frac{3}{7} by extracting the negative sign.

$$35-\frac{3}{7}$$

Convert 35 to fraction \frac{245}{7}.

$$\frac{245}{7}-\frac{3}{7}$$

Since \frac{245}{7} and \frac{3}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{245-3}{7}$$

Subtract 3 from 245 to get 242.

$$\frac{242}{7}$$

Factor

$$\frac{2 \cdot 11 ^ {2}}{7} = 34\frac{4}{7} = 34.57142857142857$$