Solve 1-46/7+(-23/7)

$$1 - 4 \frac { 6 } { 7 } + ( - 2 \frac { 3 } { 7 } )$$

Evaluate

$$-\frac{44}{7}\approx -6.285714286$$

Solution Steps

Multiply 4 and 7 to get 28.

$$1-\frac{28+6}{7}-\frac{2\times 7+3}{7}$$

Add 28 and 6 to get 34.

$$1-\frac{34}{7}-\frac{2\times 7+3}{7}$$

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

$$\frac{7}{7}-\frac{34}{7}-\frac{2\times 7+3}{7}$$

Since \frac{7}{7} and \frac{34}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-34}{7}-\frac{2\times 7+3}{7}$$

Subtract 34 from 7 to get -27.

$$-\frac{27}{7}-\frac{2\times 7+3}{7}$$

Multiply 2 and 7 to get 14.

$$-\frac{27}{7}-\frac{14+3}{7}$$

Add 14 and 3 to get 17.

$$-\frac{27}{7}-\frac{17}{7}$$

Since -\frac{27}{7} and \frac{17}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-27-17}{7}$$

Subtract 17 from -27 to get -44.

$$-\frac{44}{7}$$

Factor

$$-\frac{44}{7} = -6\frac{2}{7} = -6.285714285714286$$