Solve 91/7div40.64

$$9 \frac { 1 } { 7 } \div 40.64$$

Evaluate

$$\frac{200}{889}\approx 0.224971879$$

Solution Steps

Express \frac{\frac{9\times 7+1}{7}}{40.64} as a single fraction.

$$\frac{9\times 7+1}{7\times 40.64}$$

Multiply 9 and 7 to get 63.

$$\frac{63+1}{7\times 40.64}$$

Add 63 and 1 to get 64.

$$\frac{64}{7\times 40.64}$$

Multiply 7 and 40.64 to get 284.48.

$$\frac{64}{284.48}$$

Expand \frac{64}{284.48} by multiplying both numerator and the denominator by 100.

$$\frac{6400}{28448}$$

Reduce the fraction \frac{6400}{28448} to lowest terms by extracting and canceling out 32.

$$\frac{200}{889}$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {2}}{7 \cdot 127} = 0.2249718785151856$$