Solve (45div5^2)-(35div5^2)-8

$$(45 \div { 5 }^{ 2 } )-(35 \div { 5 }^{ 2 } )-8$$

Evaluate

$$-\frac{38}{5}=-7.6$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$\frac{45}{25}-\frac{35}{5^{2}}-8$$

Reduce the fraction \frac{45}{25} to lowest terms by extracting and canceling out 5.

$$\frac{9}{5}-\frac{35}{5^{2}}-8$$

Calculate 5 to the power of 2 and get 25.

$$\frac{9}{5}-\frac{35}{25}-8$$

Reduce the fraction \frac{35}{25} to lowest terms by extracting and canceling out 5.

$$\frac{9}{5}-\frac{7}{5}-8$$

Since \frac{9}{5} and \frac{7}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-7}{5}-8$$

Subtract 7 from 9 to get 2.

$$\frac{2}{5}-8$$

Convert 8 to fraction \frac{40}{5}.

$$\frac{2}{5}-\frac{40}{5}$$

Since \frac{2}{5} and \frac{40}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-40}{5}$$

Subtract 40 from 2 to get -38.

$$-\frac{38}{5}$$

Factor

$$-\frac{38}{5} = -7\frac{3}{5} = -7.6$$