Solve =216+22/7*2.1/2*2.1/2

$$= 216 + \frac { 22 } { 7 } \times \frac { 2.1 } { 2 } \times \frac { 2.1 } { 2 }$$

Evaluate

$$219.465$$

Solution Steps

Multiply \frac{2.1}{2} and \frac{2.1}{2} to get \left(\frac{2.1}{2}\right)^{2}.

$$216+\frac{22}{7}\times \left(\frac{2.1}{2}\right)^{2}$$

Expand \frac{2.1}{2} by multiplying both numerator and the denominator by 10.

$$216+\frac{22}{7}\times \left(\frac{21}{20}\right)^{2}$$

Calculate \frac{21}{20} to the power of 2 and get \frac{441}{400}.

$$216+\frac{22}{7}\times \frac{441}{400}$$

Multiply \frac{22}{7} times \frac{441}{400} by multiplying numerator times numerator and denominator times denominator.

$$216+\frac{22\times 441}{7\times 400}$$

Do the multiplications in the fraction \frac{22\times 441}{7\times 400}.

$$216+\frac{9702}{2800}$$

Reduce the fraction \frac{9702}{2800} to lowest terms by extracting and canceling out 14.

$$216+\frac{693}{200}$$

Convert 216 to fraction \frac{43200}{200}.

$$\frac{43200}{200}+\frac{693}{200}$$

Since \frac{43200}{200} and \frac{693}{200} have the same denominator, add them by adding their numerators.

$$\frac{43200+693}{200}$$

Add 43200 and 693 to get 43893.

$$\frac{43893}{200}$$

Factor

$$\frac{4877 \cdot 3 ^ {2}}{2 ^ {3} \cdot 5 ^ {2}} = 219\frac{93}{200} = 219.465$$