Solve (1/7*1)+(4/7*(-1/4))

$$( \frac { 1 } { 7 } \cdot 1 ) + ( \frac { 4 } { 7 } \cdot ( - \frac { 1 } { 4 } ) )$$

Evaluate

$$0$$

Solution Steps

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

$$\frac{1}{7}+\frac{4}{7}\left(-\frac{1}{4}\right)$$

Multiply \frac{4}{7} times -\frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{7}+\frac{4\left(-1\right)}{7\times 4}$$

Cancel out 4 in both numerator and denominator.

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

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

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

Subtract \frac{1}{7} from \frac{1}{7} to get 0.

$$0$$

Factor

$$0$$