Solve 22/7*7.5^2*2

$$\frac{ 22 }{ 7 } \times { 7.5 }^{ 2 } \times 2$$

Evaluate

$$\frac{2475}{7}\approx 353.571428571$$

Solution Steps

Calculate 7.5 to the power of 2 and get 56.25.

$$\frac{22}{7}\times 56.25\times 2$$

Convert decimal number 56.25 to fraction \frac{5625}{100}. Reduce the fraction \frac{5625}{100} to lowest terms by extracting and canceling out 25.

$$\frac{22}{7}\times \frac{225}{4}\times 2$$

Multiply \frac{22}{7} times \frac{225}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{22\times 225}{7\times 4}\times 2$$

Do the multiplications in the fraction \frac{22\times 225}{7\times 4}.

$$\frac{4950}{28}\times 2$$

Reduce the fraction \frac{4950}{28} to lowest terms by extracting and canceling out 2.

$$\frac{2475}{14}\times 2$$

Express \frac{2475}{14}\times 2 as a single fraction.

$$\frac{2475\times 2}{14}$$

Multiply 2475 and 2 to get 4950.

$$\frac{4950}{14}$$

Reduce the fraction \frac{4950}{14} to lowest terms by extracting and canceling out 2.

$$\frac{2475}{7}$$

Factor

$$\frac{11 \cdot 3 ^ {2} \cdot 5 ^ {2}}{7} = 353\frac{4}{7} = 353.57142857142856$$