Solve -99/10:22/3

$$- 9 \frac { 9 } { 10 } : 2 \frac { 2 } { 3 }$$

Evaluate

$$-\frac{297}{80}=-3.7125$$

Solution Steps

Multiply 9 and 10 to get 90.

$$\frac{-\frac{90+9}{10}}{\frac{2\times 3+2}{3}}$$

Add 90 and 9 to get 99.

$$\frac{-\frac{99}{10}}{\frac{2\times 3+2}{3}}$$

Multiply 2 and 3 to get 6.

$$\frac{-\frac{99}{10}}{\frac{6+2}{3}}$$

Add 6 and 2 to get 8.

$$\frac{-\frac{99}{10}}{\frac{8}{3}}$$

Divide -\frac{99}{10} by \frac{8}{3} by multiplying -\frac{99}{10} by the reciprocal of \frac{8}{3}.

$$-\frac{99}{10}\times \frac{3}{8}$$

Multiply -\frac{99}{10} times \frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-99\times 3}{10\times 8}$$

Do the multiplications in the fraction \frac{-99\times 3}{10\times 8}.

$$\frac{-297}{80}$$

Fraction \frac{-297}{80} can be rewritten as -\frac{297}{80} by extracting the negative sign.

$$-\frac{297}{80}$$

Factor

$$-\frac{297}{80} = -3\frac{57}{80} = -3.7125$$