Solve 5div5/7-5/7*1/5

$$5 \div \frac { 5 } { 7 } - \frac { 5 } { 7 } \times \frac { 1 } { 5 }$$

Evaluate

$$\frac{48}{7}\approx 6.857142857$$

Solution Steps

Divide 5 by \frac{5}{7} by multiplying 5 by the reciprocal of \frac{5}{7}.

$$5\times \frac{7}{5}-\frac{5}{7}\times \frac{1}{5}$$

Cancel out 5 and 5.

$$7-\frac{5}{7}\times \frac{1}{5}$$

Multiply \frac{5}{7} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$7-\frac{5\times 1}{7\times 5}$$

Cancel out 5 in both numerator and denominator.

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

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

$$\frac{49}{7}-\frac{1}{7}$$

Since \frac{49}{7} and \frac{1}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{49-1}{7}$$

Subtract 1 from 49 to get 48.

$$\frac{48}{7}$$

Factor

$$\frac{2 ^ {4} \cdot 3}{7} = 6\frac{6}{7} = 6.857142857142857$$