Solve 15/6div-7/2/frac{-2{5}div6/7}

$$\frac { \frac { 15 } { 6 } \div \frac { - 7 } { 2 } } { \frac { - 2 } { 5 } \div \frac { 6 } { 7 } }$$

Evaluate

$$\frac{75}{49}\approx 1.530612245$$

Solution Steps

Divide \frac{\frac{15}{6}}{\frac{-7}{2}} by \frac{\frac{-2}{5}}{\frac{6}{7}} by multiplying \frac{\frac{15}{6}}{\frac{-7}{2}} by the reciprocal of \frac{\frac{-2}{5}}{\frac{6}{7}}.

$$\frac{\frac{15}{6}\times \frac{6}{7}}{\frac{-7}{2}\times \frac{-2}{5}}$$

Reduce the fraction \frac{15}{6} to lowest terms by extracting and canceling out 3.

$$\frac{\frac{5}{2}\times \frac{6}{7}}{\frac{-7}{2}\times \frac{-2}{5}}$$

Multiply \frac{5}{2} times \frac{6}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{5\times 6}{2\times 7}}{\frac{-7}{2}\times \frac{-2}{5}}$$

Do the multiplications in the fraction \frac{5\times 6}{2\times 7}.

$$\frac{\frac{30}{14}}{\frac{-7}{2}\times \frac{-2}{5}}$$

Reduce the fraction \frac{30}{14} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{15}{7}}{\frac{-7}{2}\times \frac{-2}{5}}$$

Fraction \frac{-7}{2} can be rewritten as -\frac{7}{2} by extracting the negative sign.

$$\frac{\frac{15}{7}}{-\frac{7}{2}\times \frac{-2}{5}}$$

Fraction \frac{-2}{5} can be rewritten as -\frac{2}{5} by extracting the negative sign.

$$\frac{\frac{15}{7}}{-\frac{7}{2}\left(-\frac{2}{5}\right)}$$

Multiply -\frac{7}{2} times -\frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{15}{7}}{\frac{-7\left(-2\right)}{2\times 5}}$$

Do the multiplications in the fraction \frac{-7\left(-2\right)}{2\times 5}.

$$\frac{\frac{15}{7}}{\frac{14}{10}}$$

Reduce the fraction \frac{14}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{15}{7}}{\frac{7}{5}}$$

Divide \frac{15}{7} by \frac{7}{5} by multiplying \frac{15}{7} by the reciprocal of \frac{7}{5}.

$$\frac{15}{7}\times \frac{5}{7}$$

Multiply \frac{15}{7} times \frac{5}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{15\times 5}{7\times 7}$$

Do the multiplications in the fraction \frac{15\times 5}{7\times 7}.

$$\frac{75}{49}$$

Factor

$$\frac{3 \cdot 5 ^ {2}}{7 ^ {2}} = 1\frac{26}{49} = 1.530612244897959$$