Solve 5-3/7+14/7

$$5 - \frac { 3 } { 7 } + 1 \frac { 4 } { 7 }$$

Evaluate

$$\frac{43}{7}\approx 6.142857143$$

Solution Steps

Convert 5 to fraction \frac{35}{7}.

$$\frac{35}{7}-\frac{3}{7}+\frac{1\times 7+4}{7}$$

Since \frac{35}{7} and \frac{3}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35-3}{7}+\frac{1\times 7+4}{7}$$

Subtract 3 from 35 to get 32.

$$\frac{32}{7}+\frac{1\times 7+4}{7}$$

Multiply 1 and 7 to get 7.

$$\frac{32}{7}+\frac{7+4}{7}$$

Add 7 and 4 to get 11.

$$\frac{32}{7}+\frac{11}{7}$$

Since \frac{32}{7} and \frac{11}{7} have the same denominator, add them by adding their numerators.

$$\frac{32+11}{7}$$

Add 32 and 11 to get 43.

$$\frac{43}{7}$$

Factor

$$\frac{43}{7} = 6\frac{1}{7} = 6.142857142857143$$