Solve 1/-4-2/5:1/10=

$$\frac { 1 } { - 4 } - \frac { 2 } { 5 } : \frac { 1 } { 10 } =$$

Evaluate

$$-\frac{17}{4}=-4.25$$

Solution Steps

Fraction \frac{1}{-4} can be rewritten as -\frac{1}{4} by extracting the negative sign.

$$-\frac{1}{4}-\frac{\frac{2}{5}}{\frac{1}{10}}$$

Divide \frac{2}{5} by \frac{1}{10} by multiplying \frac{2}{5} by the reciprocal of \frac{1}{10}.

$$-\frac{1}{4}-\frac{2}{5}\times 10$$

Express \frac{2}{5}\times 10 as a single fraction.

$$-\frac{1}{4}-\frac{2\times 10}{5}$$

Multiply 2 and 10 to get 20.

$$-\frac{1}{4}-\frac{20}{5}$$

Divide 20 by 5 to get 4.

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

Convert 4 to fraction \frac{16}{4}.

$$-\frac{1}{4}-\frac{16}{4}$$

Since -\frac{1}{4} and \frac{16}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-1-16}{4}$$

Subtract 16 from -1 to get -17.

$$-\frac{17}{4}$$

Factor

$$-\frac{17}{4} = -4\frac{1}{4} = -4.25$$