Solve 11-2^6/7-12/7

$$11 - \frac { 2 ^ { 6 } } { 7 } - 1 \frac { 2 } { 7 }$$

Evaluate

$$\frac{4}{7}\approx 0.571428571$$

Solution Steps

Calculate 2 to the power of 6 and get 64.

$$11-\frac{64}{7}-\frac{1\times 7+2}{7}$$

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

$$\frac{77}{7}-\frac{64}{7}-\frac{1\times 7+2}{7}$$

Since \frac{77}{7} and \frac{64}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{77-64}{7}-\frac{1\times 7+2}{7}$$

Subtract 64 from 77 to get 13.

$$\frac{13}{7}-\frac{1\times 7+2}{7}$$

Multiply 1 and 7 to get 7.

$$\frac{13}{7}-\frac{7+2}{7}$$

Add 7 and 2 to get 9.

$$\frac{13}{7}-\frac{9}{7}$$

Since \frac{13}{7} and \frac{9}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{13-9}{7}$$

Subtract 9 from 13 to get 4.

$$\frac{4}{7}$$

Factor

$$\frac{2 ^ {2}}{7} = 0.5714285714285714$$