Solve -36/25div27/25*40/48div30/34

$$\frac { - 36 } { 25 } \div \frac { 27 } { 25 } \times \frac { 40 } { 48 } \div \frac { 30 } { 34 }$$

Evaluate

$$-\frac{34}{27}\approx -1.259259259$$

Solution Steps

Divide \frac{-36}{25} by \frac{27}{25} by multiplying \frac{-36}{25} by the reciprocal of \frac{27}{25}.

$$\frac{\frac{-36\times 25}{25\times 27}\times \frac{40}{48}}{\frac{30}{34}}$$

Cancel out 9\times 25 in both numerator and denominator.

$$\frac{\frac{-4}{3}\times \frac{40}{48}}{\frac{30}{34}}$$

Fraction \frac{-4}{3} can be rewritten as -\frac{4}{3} by extracting the negative sign.

$$\frac{-\frac{4}{3}\times \frac{40}{48}}{\frac{30}{34}}$$

Reduce the fraction \frac{40}{48} to lowest terms by extracting and canceling out 8.

$$\frac{-\frac{4}{3}\times \frac{5}{6}}{\frac{30}{34}}$$

Multiply -\frac{4}{3} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{-4\times 5}{3\times 6}}{\frac{30}{34}}$$

Do the multiplications in the fraction \frac{-4\times 5}{3\times 6}.

$$\frac{\frac{-20}{18}}{\frac{30}{34}}$$

Reduce the fraction \frac{-20}{18} to lowest terms by extracting and canceling out 2.

$$\frac{-\frac{10}{9}}{\frac{30}{34}}$$

Reduce the fraction \frac{30}{34} to lowest terms by extracting and canceling out 2.

$$\frac{-\frac{10}{9}}{\frac{15}{17}}$$

Divide -\frac{10}{9} by \frac{15}{17} by multiplying -\frac{10}{9} by the reciprocal of \frac{15}{17}.

$$-\frac{10}{9}\times \frac{17}{15}$$

Multiply -\frac{10}{9} times \frac{17}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-10\times 17}{9\times 15}$$

Do the multiplications in the fraction \frac{-10\times 17}{9\times 15}.

$$\frac{-170}{135}$$

Reduce the fraction \frac{-170}{135} to lowest terms by extracting and canceling out 5.

$$-\frac{34}{27}$$

Factor

$$-\frac{34}{27} = -1\frac{7}{27} = -1.2592592592592593$$