Solve (25*7)-(7/2+8/4)div15=

$$(25 \times 7)-( \frac{ 7 }{ 2 } + \frac{ 8 }{ 4 } ) \div 15=$$

Evaluate

$$\frac{5239}{30}\approx 174.633333333$$

Solution Steps

Multiply 25 and 7 to get 175.

$$175-\frac{\frac{7}{2}+\frac{8}{4}}{15}$$

Divide 8 by 4 to get 2.

$$175-\frac{\frac{7}{2}+2}{15}$$

Convert 2 to fraction \frac{4}{2}.

$$175-\frac{\frac{7}{2}+\frac{4}{2}}{15}$$

Since \frac{7}{2} and \frac{4}{2} have the same denominator, add them by adding their numerators.

$$175-\frac{\frac{7+4}{2}}{15}$$

Add 7 and 4 to get 11.

$$175-\frac{\frac{11}{2}}{15}$$

Express \frac{\frac{11}{2}}{15} as a single fraction.

$$175-\frac{11}{2\times 15}$$

Multiply 2 and 15 to get 30.

$$175-\frac{11}{30}$$

Convert 175 to fraction \frac{5250}{30}.

$$\frac{5250}{30}-\frac{11}{30}$$

Since \frac{5250}{30} and \frac{11}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5250-11}{30}$$

Subtract 11 from 5250 to get 5239.

$$\frac{5239}{30}$$

Factor

$$\frac{13 ^ {2} \cdot 31}{2 \cdot 3 \cdot 5} = 174\frac{19}{30} = 174.63333333333333$$