Solve 80/17*frac{4*10^-4-frac{2{2}}{2*10^-2}}

$$\frac { 80 } { 17 \times \frac { 4 \times 10 ^ { - 4 } - \frac { 2 } { 2 } } { 2 \times 10 ^ { - 2 } } }$$

Evaluate

$$-\frac{4000}{42483}\approx -0.094155309$$

Solution Steps

Divide 2 by 2 to get 1.

$$\frac{80}{17\times \frac{4\times 10^{-4}-1}{2\times 10^{-2}}}$$

Calculate 10 to the power of -4 and get \frac{1}{10000}.

$$\frac{80}{17\times \frac{4\times \frac{1}{10000}-1}{2\times 10^{-2}}}$$

Multiply 4 and \frac{1}{10000} to get \frac{1}{2500}.

$$\frac{80}{17\times \frac{\frac{1}{2500}-1}{2\times 10^{-2}}}$$

Subtract 1 from \frac{1}{2500} to get -\frac{2499}{2500}.

$$\frac{80}{17\times \frac{-\frac{2499}{2500}}{2\times 10^{-2}}}$$

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$\frac{80}{17\times \frac{-\frac{2499}{2500}}{2\times \frac{1}{100}}}$$

Multiply 2 and \frac{1}{100} to get \frac{1}{50}.

$$\frac{80}{17\times \frac{-\frac{2499}{2500}}{\frac{1}{50}}}$$

Divide -\frac{2499}{2500} by \frac{1}{50} by multiplying -\frac{2499}{2500} by the reciprocal of \frac{1}{50}.

$$\frac{80}{17\left(-\frac{2499}{2500}\right)\times 50}$$

Multiply -\frac{2499}{2500} and 50 to get -\frac{2499}{50}.

$$\frac{80}{17\left(-\frac{2499}{50}\right)}$$

Multiply 17 and -\frac{2499}{50} to get -\frac{42483}{50}.

$$\frac{80}{-\frac{42483}{50}}$$

Divide 80 by -\frac{42483}{50} by multiplying 80 by the reciprocal of -\frac{42483}{50}.

$$80\left(-\frac{50}{42483}\right)$$

Multiply 80 and -\frac{50}{42483} to get -\frac{4000}{42483}.

$$-\frac{4000}{42483}$$

Factor

$$-\frac{4000}{42483} = -0.09415530918249652$$