Solve 8/frac{74{41}*8}

$$\frac{ 8 }{ \frac{ 74 }{ 41 } \times 8 }$$

Evaluate

$$\frac{41}{74}\approx 0.554054054$$

Solution Steps

Express \frac{74}{41}\times 8 as a single fraction.

$$\frac{8}{\frac{74\times 8}{41}}$$

Multiply 74 and 8 to get 592.

$$\frac{8}{\frac{592}{41}}$$

Divide 8 by \frac{592}{41} by multiplying 8 by the reciprocal of \frac{592}{41}.

$$8\times \frac{41}{592}$$

Express 8\times \frac{41}{592} as a single fraction.

$$\frac{8\times 41}{592}$$

Multiply 8 and 41 to get 328.

$$\frac{328}{592}$$

Reduce the fraction \frac{328}{592} to lowest terms by extracting and canceling out 8.

$$\frac{41}{74}$$

Factor

$$\frac{41}{2 \cdot 37} = 0.5540540540540541$$