Solve (13/5)*(7/26)*(-50/7)*(-1/5)

$$( \frac { 13 } { 5 } ) \times ( \frac { 7 } { 26 } ) \times ( \frac { - 50 } { 7 } ) \times ( \frac { - 1 } { 5 } )$$

Evaluate

$$1$$

Solution Steps

Multiply \frac{13}{5} times \frac{7}{26} by multiplying numerator times numerator and denominator times denominator.

$$\frac{13\times 7}{5\times 26}\times \frac{-50}{7}\times \frac{-1}{5}$$

Do the multiplications in the fraction \frac{13\times 7}{5\times 26}.

$$\frac{91}{130}\times \frac{-50}{7}\times \frac{-1}{5}$$

Reduce the fraction \frac{91}{130} to lowest terms by extracting and canceling out 13.

$$\frac{7}{10}\times \frac{-50}{7}\times \frac{-1}{5}$$

Fraction \frac{-50}{7} can be rewritten as -\frac{50}{7} by extracting the negative sign.

$$\frac{7}{10}\left(-\frac{50}{7}\right)\times \frac{-1}{5}$$

Multiply \frac{7}{10} times -\frac{50}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\left(-50\right)}{10\times 7}\times \frac{-1}{5}$$

Cancel out 7 in both numerator and denominator.

$$\frac{-50}{10}\times \frac{-1}{5}$$

Divide -50 by 10 to get -5.

$$-5\times \frac{-1}{5}$$

Fraction \frac{-1}{5} can be rewritten as -\frac{1}{5} by extracting the negative sign.

$$-5\left(-\frac{1}{5}\right)$$

Multiply -5 times -\frac{1}{5}.

$$1$$

Factor

$$1$$