Solve 22/7*(10)^2-1/2*12*16

$$\frac { 22 } { 7 } \times ( 10 ) ^ { 2 } - \frac { 1 } { 2 } \times 12 \times 16$$

Evaluate

$$\frac{1528}{7}\approx 218.285714286$$

Solution Steps

Calculate 10 to the power of 2 and get 100.

$$\frac{22}{7}\times 100-\frac{1}{2}\times 12\times 16$$

Express \frac{22}{7}\times 100 as a single fraction.

$$\frac{22\times 100}{7}-\frac{1}{2}\times 12\times 16$$

Multiply 22 and 100 to get 2200.

$$\frac{2200}{7}-\frac{1}{2}\times 12\times 16$$

Multiply \frac{1}{2} and 12 to get \frac{12}{2}.

$$\frac{2200}{7}-\frac{12}{2}\times 16$$

Divide 12 by 2 to get 6.

$$\frac{2200}{7}-6\times 16$$

Multiply 6 and 16 to get 96.

$$\frac{2200}{7}-96$$

Convert 96 to fraction \frac{672}{7}.

$$\frac{2200}{7}-\frac{672}{7}$$

Since \frac{2200}{7} and \frac{672}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2200-672}{7}$$

Subtract 672 from 2200 to get 1528.

$$\frac{1528}{7}$$

Factor

$$\frac{2 ^ {3} \cdot 191}{7} = 218\frac{2}{7} = 218.28571428571428$$