Solve 1024/2*frac{22{7}*7}-7

$$\frac{ 1024 }{ 2 \times \frac{ 22 }{ 7 } \times 7 } -7$$

Evaluate

$$\frac{179}{11}\approx 16.272727273$$

Solution Steps

Express 2\times \frac{22}{7} as a single fraction.

$$\frac{1024}{\frac{2\times 22}{7}\times 7}-7$$

Multiply 2 and 22 to get 44.

$$\frac{1024}{\frac{44}{7}\times 7}-7$$

Cancel out 7 and 7.

$$\frac{1024}{44}-7$$

Reduce the fraction \frac{1024}{44} to lowest terms by extracting and canceling out 4.

$$\frac{256}{11}-7$$

Convert 7 to fraction \frac{77}{11}.

$$\frac{256}{11}-\frac{77}{11}$$

Since \frac{256}{11} and \frac{77}{11} have the same denominator, subtract them by subtracting their numerators.

$$\frac{256-77}{11}$$

Subtract 77 from 256 to get 179.

$$\frac{179}{11}$$

Factor

$$\frac{179}{11} = 16\frac{3}{11} = 16.272727272727273$$