Solve frac{sqrt{2*5}*213/18*0.25}{18}=

$$\frac { \sqrt { 2 \cdot 5 } \times 2 \frac { 13 } { 18 } \times 0.25 } { 18 } =$$

Evaluate

$$\frac{49\sqrt{10}}{1296}\approx 0.119561424$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{0.25\sqrt{10}\times \frac{2\times 18+13}{18}}{18}$$

Multiply 2 and 18 to get 36.

$$\frac{0.25\sqrt{10}\times \frac{36+13}{18}}{18}$$

Add 36 and 13 to get 49.

$$\frac{0.25\sqrt{10}\times \frac{49}{18}}{18}$$

Convert decimal number 0.25 to fraction \frac{25}{100}. Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\frac{\frac{1}{4}\sqrt{10}\times \frac{49}{18}}{18}$$

Multiply \frac{1}{4} times \frac{49}{18} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{1\times 49}{4\times 18}\sqrt{10}}{18}$$

Do the multiplications in the fraction \frac{1\times 49}{4\times 18}.

$$\frac{\frac{49}{72}\sqrt{10}}{18}$$

Divide \frac{49}{72}\sqrt{10} by 18 to get \frac{49}{1296}\sqrt{10}.

$$\frac{49}{1296}\sqrt{10}$$