Evaluate: 2^3+(295+5)/(4 \times 5)\div5-4

Expression: ${2}^{3}+\frac{ 295+5 }{ 4 \times 5 }\div5-4$

Evaluate the power

$8+\frac{ 295+5 }{ 4 \times 5 }\div5-4$

Add the numbers

$8+\frac{ 300 }{ 4 \times 5 }\div5-4$

Dividing is equivalent to multiplying by the reciprocal

$8+\frac{ 300 }{ 4 \times 5 } \times \frac{ 1 }{ 5 }-4$

Cancel out the common factor $4$

$8+\frac{ 75 }{ 5 } \times \frac{ 1 }{ 5 }-4$

Cancel out the common factor $5$

$8+15 \times \frac{ 1 }{ 5 }-4$

Cancel out the greatest common factor $5$

$8+3-4$

Calculate the sum or difference

$7$