Solve 511/0.317*0.3/20*100

$$\frac { 511 } { 0.317 } \times \frac { 0.3 } { 20 } \times 100$$

Evaluate

$$\frac{766500}{317}\approx 2417.981072555$$

Solution Steps

Expand \frac{511}{0.317} by multiplying both numerator and the denominator by 1000.

$$\frac{511000}{317}\times \frac{0.3}{20}\times 100$$

Expand \frac{0.3}{20} by multiplying both numerator and the denominator by 10.

$$\frac{511000}{317}\times \frac{3}{200}\times 100$$

Multiply \frac{511000}{317} times \frac{3}{200} by multiplying numerator times numerator and denominator times denominator.

$$\frac{511000\times 3}{317\times 200}\times 100$$

Do the multiplications in the fraction \frac{511000\times 3}{317\times 200}.

$$\frac{1533000}{63400}\times 100$$

Reduce the fraction \frac{1533000}{63400} to lowest terms by extracting and canceling out 200.

$$\frac{7665}{317}\times 100$$

Express \frac{7665}{317}\times 100 as a single fraction.

$$\frac{7665\times 100}{317}$$

Multiply 7665 and 100 to get 766500.

$$\frac{766500}{317}$$

Factor

$$\frac{3 \cdot 7 \cdot 73 \cdot 2 ^ {2} \cdot 5 ^ {3}}{317} = 2417\frac{311}{317} = 2417.981072555205$$