Solve 45*6(25+3div7)=

$$45 \times 6(25+3 \div 7)=$$

Evaluate

$$\frac{48060}{7}\approx 6865.714285714$$

Solution Steps

Multiply 45 and 6 to get 270.

$$270\left(25+\frac{3}{7}\right)$$

Convert 25 to fraction \frac{175}{7}.

$$270\left(\frac{175}{7}+\frac{3}{7}\right)$$

Since \frac{175}{7} and \frac{3}{7} have the same denominator, add them by adding their numerators.

$$270\times \frac{175+3}{7}$$

Add 175 and 3 to get 178.

$$270\times \frac{178}{7}$$

Express 270\times \frac{178}{7} as a single fraction.

$$\frac{270\times 178}{7}$$

Multiply 270 and 178 to get 48060.

$$\frac{48060}{7}$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {3} \cdot 5 \cdot 89}{7} = 6865\frac{5}{7} = 6865.714285714285$$