Solve 90/360*2*27/7*18

$$\frac { 90 } { 360 } \times 2 \times \frac { 27 } { 7 } \times 18$$

Evaluate

$$\frac{243}{7}\approx 34.714285714$$

Solution Steps

Reduce the fraction \frac{90}{360} to lowest terms by extracting and canceling out 90.

$$\frac{1}{4}\times 2\times \frac{27}{7}\times 18$$

Multiply \frac{1}{4} and 2 to get \frac{2}{4}.

$$\frac{2}{4}\times \frac{27}{7}\times 18$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}\times \frac{27}{7}\times 18$$

Multiply \frac{1}{2} times \frac{27}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 27}{2\times 7}\times 18$$

Do the multiplications in the fraction \frac{1\times 27}{2\times 7}.

$$\frac{27}{14}\times 18$$

Express \frac{27}{14}\times 18 as a single fraction.

$$\frac{27\times 18}{14}$$

Multiply 27 and 18 to get 486.

$$\frac{486}{14}$$

Reduce the fraction \frac{486}{14} to lowest terms by extracting and canceling out 2.

$$\frac{243}{7}$$

Factor

$$\frac{3 ^ {5}}{7} = 34\frac{5}{7} = 34.714285714285715$$