Solve 2*22/7*3*10.5+22/73^2

$$2 \times \frac{ 22 }{ 7 } \times 3 \times 10.5+ \frac{ 22 }{ 7 } { 3 }^{ 2 }$$

Evaluate

$$\frac{1584}{7}\approx 226.285714286$$

Solution Steps

Express 2\times \frac{22}{7} as a single fraction.

$$\frac{2\times 22}{7}\times 3\times 10.5+\frac{22}{7}\times 3^{2}$$

Multiply 2 and 22 to get 44.

$$\frac{44}{7}\times 3\times 10.5+\frac{22}{7}\times 3^{2}$$

Express \frac{44}{7}\times 3 as a single fraction.

$$\frac{44\times 3}{7}\times 10.5+\frac{22}{7}\times 3^{2}$$

Multiply 44 and 3 to get 132.

$$\frac{132}{7}\times 10.5+\frac{22}{7}\times 3^{2}$$

Convert decimal number 10.5 to fraction \frac{105}{10}. Reduce the fraction \frac{105}{10} to lowest terms by extracting and canceling out 5.

$$\frac{132}{7}\times \frac{21}{2}+\frac{22}{7}\times 3^{2}$$

Multiply \frac{132}{7} times \frac{21}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{132\times 21}{7\times 2}+\frac{22}{7}\times 3^{2}$$

Do the multiplications in the fraction \frac{132\times 21}{7\times 2}.

$$\frac{2772}{14}+\frac{22}{7}\times 3^{2}$$

Divide 2772 by 14 to get 198.

$$198+\frac{22}{7}\times 3^{2}$$

Calculate 3 to the power of 2 and get 9.

$$198+\frac{22}{7}\times 9$$

Express \frac{22}{7}\times 9 as a single fraction.

$$198+\frac{22\times 9}{7}$$

Multiply 22 and 9 to get 198.

$$198+\frac{198}{7}$$

Convert 198 to fraction \frac{1386}{7}.

$$\frac{1386}{7}+\frac{198}{7}$$

Since \frac{1386}{7} and \frac{198}{7} have the same denominator, add them by adding their numerators.

$$\frac{1386+198}{7}$$

Add 1386 and 198 to get 1584.

$$\frac{1584}{7}$$

Factor

$$\frac{11 \cdot 2 ^ {4} \cdot 3 ^ {2}}{7} = 226\frac{2}{7} = 226.28571428571428$$