Solve 1/10/frac{10{3}-4}

$$\frac { \frac { 1 } { 10 } } { \frac { 10 } { 3 } - 4 }$$

Evaluate

$$-\frac{3}{20}=-0.15$$

Solution Steps

Convert 4 to fraction \frac{12}{3}.

$$\frac{\frac{1}{10}}{\frac{10}{3}-\frac{12}{3}}$$

Since \frac{10}{3} and \frac{12}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{1}{10}}{\frac{10-12}{3}}$$

Subtract 12 from 10 to get -2.

$$\frac{\frac{1}{10}}{-\frac{2}{3}}$$

Divide \frac{1}{10} by -\frac{2}{3} by multiplying \frac{1}{10} by the reciprocal of -\frac{2}{3}.

$$\frac{1}{10}\left(-\frac{3}{2}\right)$$

Multiply \frac{1}{10} times -\frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\left(-3\right)}{10\times 2}$$

Do the multiplications in the fraction \frac{1\left(-3\right)}{10\times 2}.

$$\frac{-3}{20}$$

Fraction \frac{-3}{20} can be rewritten as -\frac{3}{20} by extracting the negative sign.

$$-\frac{3}{20}$$

Factor

$$-\frac{3}{20} = -0.15$$