Solve (7-56/36div49/6)*6/7

$$( \frac { 7 - 56 } { 36 } \div \frac { 49 } { 6 } ) \cdot \frac { 6 } { 7 }$$

Evaluate

$$-\frac{1}{7}\approx -0.142857143$$

Solution Steps

Divide \frac{7-56}{36} by \frac{49}{6} by multiplying \frac{7-56}{36} by the reciprocal of \frac{49}{6}.

$$\frac{\left(7-56\right)\times 6}{36\times 49}\times \frac{6}{7}$$

Cancel out 6 in both numerator and denominator.

$$\frac{7-56}{6\times 49}\times \frac{6}{7}$$

Subtract 56 from 7 to get -49.

$$\frac{-49}{6\times 49}\times \frac{6}{7}$$

Multiply 6 and 49 to get 294.

$$\frac{-49}{294}\times \frac{6}{7}$$

Reduce the fraction \frac{-49}{294} to lowest terms by extracting and canceling out 49.

$$-\frac{1}{6}\times \frac{6}{7}$$

Multiply -\frac{1}{6} times \frac{6}{7} by multiplying numerator times numerator and denominator times denominator.

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

Cancel out 6 in both numerator and denominator.

$$\frac{-1}{7}$$

Fraction \frac{-1}{7} can be rewritten as -\frac{1}{7} by extracting the negative sign.

$$-\frac{1}{7}$$

Factor

$$-\frac{1}{7} = -0.14285714285714285$$