Solve 22/72.8*2.8*15

$$\frac{ 22 }{ 7 } 2.8 \times 2.8 \times 15$$

Evaluate

$$369.6$$

Solution Steps

Convert decimal number 2.8 to fraction \frac{28}{10}. Reduce the fraction \frac{28}{10} to lowest terms by extracting and canceling out 2.

$$\frac{22}{7}\times \frac{14}{5}\times 2.8\times 15$$

Multiply \frac{22}{7} times \frac{14}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{22\times 14}{7\times 5}\times 2.8\times 15$$

Do the multiplications in the fraction \frac{22\times 14}{7\times 5}.

$$\frac{308}{35}\times 2.8\times 15$$

Reduce the fraction \frac{308}{35} to lowest terms by extracting and canceling out 7.

$$\frac{44}{5}\times 2.8\times 15$$

Convert decimal number 2.8 to fraction \frac{28}{10}. Reduce the fraction \frac{28}{10} to lowest terms by extracting and canceling out 2.

$$\frac{44}{5}\times \frac{14}{5}\times 15$$

Multiply \frac{44}{5} times \frac{14}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{44\times 14}{5\times 5}\times 15$$

Do the multiplications in the fraction \frac{44\times 14}{5\times 5}.

$$\frac{616}{25}\times 15$$

Express \frac{616}{25}\times 15 as a single fraction.

$$\frac{616\times 15}{25}$$

Multiply 616 and 15 to get 9240.

$$\frac{9240}{25}$$

Reduce the fraction \frac{9240}{25} to lowest terms by extracting and canceling out 5.

$$\frac{1848}{5}$$

Factor

$$\frac{3 \cdot 7 \cdot 11 \cdot 2 ^ {3}}{5} = 369\frac{3}{5} = 369.6$$