Solve -5/7(-1,4)*31/2*2/7=

$$- \frac { 5 } { 7 } ( - 1,4 ) \cdot 3 \frac { 1 } { 2 } \cdot \frac { 2 } { 7 } =$$

Evaluate

$$1$$

Solution Steps

Convert decimal number -1,4 to fraction -\frac{14}{10}. Reduce the fraction -\frac{14}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{5}{7}\left(-\frac{7}{5}\right)\times \frac{3\times 2+1}{2}\times \frac{2}{7}$$

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

$$\frac{-5\left(-7\right)}{7\times 5}\times \frac{3\times 2+1}{2}\times \frac{2}{7}$$

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

$$\frac{35}{35}\times \frac{3\times 2+1}{2}\times \frac{2}{7}$$

Divide 35 by 35 to get 1.

$$1\times \frac{3\times 2+1}{2}\times \frac{2}{7}$$

Multiply 3 and 2 to get 6.

$$1\times \frac{6+1}{2}\times \frac{2}{7}$$

Add 6 and 1 to get 7.

$$1\times \frac{7}{2}\times \frac{2}{7}$$

Multiply 1 and \frac{7}{2} to get \frac{7}{2}.

$$\frac{7}{2}\times \frac{2}{7}$$

Cancel out \frac{7}{2} and its reciprocal \frac{2}{7}.

$$1$$

Factor

$$1$$