Solve 3/5-1/frac{7{5}}

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

Evaluate

$$-\frac{2}{7}\approx -0.285714286$$

Solution Steps

Convert 1 to fraction \frac{5}{5}.

$$\frac{\frac{3}{5}-\frac{5}{5}}{\frac{7}{5}}$$

Since \frac{3}{5} and \frac{5}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{3-5}{5}}{\frac{7}{5}}$$

Subtract 5 from 3 to get -2.

$$\frac{-\frac{2}{5}}{\frac{7}{5}}$$

Divide -\frac{2}{5} by \frac{7}{5} by multiplying -\frac{2}{5} by the reciprocal of \frac{7}{5}.

$$-\frac{2}{5}\times \frac{5}{7}$$

Multiply -\frac{2}{5} times \frac{5}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-2\times 5}{5\times 7}$$

Cancel out 5 in both numerator and denominator.

$$\frac{-2}{7}$$

Fraction \frac{-2}{7} can be rewritten as -\frac{2}{7} by extracting the negative sign.

$$-\frac{2}{7}$$

Factor

$$-\frac{2}{7} = -0.2857142857142857$$