Solve (1-6/7*5/6)+4

$$( 1 - \frac { 6 } { 7 } \times \frac { 5 } { 6 } ) + 4$$

Evaluate

$$\frac{30}{7}\approx 4.285714286$$

Solution Steps

Multiply \frac{6}{7} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$1-\frac{6\times 5}{7\times 6}+4$$

Cancel out 6 in both numerator and denominator.

$$1-\frac{5}{7}+4$$

Convert 1 to fraction \frac{7}{7}.

$$\frac{7}{7}-\frac{5}{7}+4$$

Since \frac{7}{7} and \frac{5}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-5}{7}+4$$

Subtract 5 from 7 to get 2.

$$\frac{2}{7}+4$$

Convert 4 to fraction \frac{28}{7}.

$$\frac{2}{7}+\frac{28}{7}$$

Since \frac{2}{7} and \frac{28}{7} have the same denominator, add them by adding their numerators.

$$\frac{2+28}{7}$$

Add 2 and 28 to get 30.

$$\frac{30}{7}$$

Factor

$$\frac{2 \cdot 3 \cdot 5}{7} = 4\frac{2}{7} = 4.285714285714286$$