Solve -816/21div24/7geq1

$$- 8 \frac { 16 } { 21 } \div 2 \frac { 4 } { 7 } \geq 1$$

Verify

Solution Steps

Multiply 8 and 21 to get 168.

$$\frac{-\frac{168+16}{21}}{\frac{2\times 7+4}{7}}\geq 1$$

Add 168 and 16 to get 184.

$$\frac{-\frac{184}{21}}{\frac{2\times 7+4}{7}}\geq 1$$

Multiply 2 and 7 to get 14.

$$\frac{-\frac{184}{21}}{\frac{14+4}{7}}\geq 1$$

Add 14 and 4 to get 18.

$$\frac{-\frac{184}{21}}{\frac{18}{7}}\geq 1$$

Divide -\frac{184}{21} by \frac{18}{7} by multiplying -\frac{184}{21} by the reciprocal of \frac{18}{7}.

$$-\frac{184}{21}\times \frac{7}{18}\geq 1$$

Multiply -\frac{184}{21} times \frac{7}{18} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-184\times 7}{21\times 18}\geq 1$$

Do the multiplications in the fraction \frac{-184\times 7}{21\times 18}.

$$\frac{-1288}{378}\geq 1$$

Reduce the fraction \frac{-1288}{378} to lowest terms by extracting and canceling out 14.

$$-\frac{92}{27}\geq 1$$

Convert 1 to fraction \frac{27}{27}.

$$-\frac{92}{27}\geq \frac{27}{27}$$

Compare -\frac{92}{27} and \frac{27}{27}.

$$\text{false}$$