Solve 7+-4/7--3/7+-1/7=

$$7+- \frac{ 4 }{ 7 } -- \frac{ 3 }{ 7 } +- \frac{ 1 }{ 7 } =$$

Evaluate

$$\frac{47}{7}\approx 6.714285714$$

Solution Steps

Convert 7 to fraction \frac{49}{7}.

$$\frac{49}{7}-\frac{4}{7}-\left(-\frac{3}{7}\right)-\frac{1}{7}$$

Since \frac{49}{7} and \frac{4}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{49-4}{7}-\left(-\frac{3}{7}\right)-\frac{1}{7}$$

Subtract 4 from 49 to get 45.

$$\frac{45}{7}-\left(-\frac{3}{7}\right)-\frac{1}{7}$$

The opposite of -\frac{3}{7} is \frac{3}{7}.

$$\frac{45}{7}+\frac{3}{7}-\frac{1}{7}$$

Since \frac{45}{7} and \frac{3}{7} have the same denominator, add them by adding their numerators.

$$\frac{45+3}{7}-\frac{1}{7}$$

Add 45 and 3 to get 48.

$$\frac{48}{7}-\frac{1}{7}$$

Since \frac{48}{7} and \frac{1}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{48-1}{7}$$

Subtract 1 from 48 to get 47.

$$\frac{47}{7}$$

Factor

$$\frac{47}{7} = 6\frac{5}{7} = 6.714285714285714$$