Solve 63-(4*2/5)^2*61/4

$$63 - ( 4 \cdot \frac { 2 } { 5 } ) ^ { 2 } \cdot 6 \frac { 1 } { 4 }$$

Evaluate

$$47$$

Solution Steps

Multiply 4 and \frac{2}{5} to get \frac{8}{5}.

$$63-\left(\frac{8}{5}\right)^{2}\times \frac{6\times 4+1}{4}$$

Calculate \frac{8}{5} to the power of 2 and get \frac{64}{25}.

$$63-\frac{64}{25}\times \frac{6\times 4+1}{4}$$

Multiply 6 and 4 to get 24.

$$63-\frac{64}{25}\times \frac{24+1}{4}$$

Add 24 and 1 to get 25.

$$63-\frac{64}{25}\times \frac{25}{4}$$

Multiply \frac{64}{25} and \frac{25}{4} to get 16.

$$63-16$$

Subtract 16 from 63 to get 47.

$$47$$

Factor

$$47$$