Solve -11/4:21/3=

$$- 1 \frac { 1 } { 4 } : 2 \frac { 1 } { 3 } =$$

Evaluate

$$-\frac{15}{28}\approx -0.535714286$$

Solution Steps

Multiply 1 and 4 to get 4.

$$\frac{-\frac{4+1}{4}}{\frac{2\times 3+1}{3}}$$

Add 4 and 1 to get 5.

$$\frac{-\frac{5}{4}}{\frac{2\times 3+1}{3}}$$

Multiply 2 and 3 to get 6.

$$\frac{-\frac{5}{4}}{\frac{6+1}{3}}$$

Add 6 and 1 to get 7.

$$\frac{-\frac{5}{4}}{\frac{7}{3}}$$

Divide -\frac{5}{4} by \frac{7}{3} by multiplying -\frac{5}{4} by the reciprocal of \frac{7}{3}.

$$-\frac{5}{4}\times \frac{3}{7}$$

Multiply -\frac{5}{4} times \frac{3}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-5\times 3}{4\times 7}$$

Do the multiplications in the fraction \frac{-5\times 3}{4\times 7}.

$$\frac{-15}{28}$$

Fraction \frac{-15}{28} can be rewritten as -\frac{15}{28} by extracting the negative sign.

$$-\frac{15}{28}$$

Factor

$$-\frac{15}{28} = -0.5357142857142857$$