Solve 2^-frac{1{7}7}-29/45+21/4=

$$2 ^ { - \frac { 1 } { 7 } 7 } - \frac { 29 } { 45 } + 2 \frac { 1 } { 4 } =$$

Evaluate

$$\frac{379}{180}\approx 2.105555556$$

Solution Steps

Multiply -\frac{1}{7} and 7 to get -1.

$$2^{-1}-\frac{29}{45}+\frac{2\times 4+1}{4}$$

Calculate 2 to the power of -1 and get \frac{1}{2}.

$$\frac{1}{2}-\frac{29}{45}+\frac{2\times 4+1}{4}$$

Subtract \frac{29}{45} from \frac{1}{2} to get -\frac{13}{90}.

$$-\frac{13}{90}+\frac{2\times 4+1}{4}$$

Multiply 2 and 4 to get 8.

$$-\frac{13}{90}+\frac{8+1}{4}$$

Add 8 and 1 to get 9.

$$-\frac{13}{90}+\frac{9}{4}$$

Add -\frac{13}{90} and \frac{9}{4} to get \frac{379}{180}.

$$\frac{379}{180}$$

Factor

$$\frac{379}{2 ^ {2} \cdot 3 ^ {2} \cdot 5} = 2\frac{19}{180} = 2.1055555555555556$$