Solve 0.25div(2/3-11/4)=

$$0.25 \div ( \frac { 2 } { 3 } - 1 \frac { 1 } { 4 } ) =$$

Evaluate

$$-\frac{3}{7}\approx -0.428571429$$

Solution Steps

Multiply 1 and 4 to get 4.

$$\frac{0.25}{\frac{2}{3}-\frac{4+1}{4}}$$

Add 4 and 1 to get 5.

$$\frac{0.25}{\frac{2}{3}-\frac{5}{4}}$$

Least common multiple of 3 and 4 is 12. Convert \frac{2}{3} and \frac{5}{4} to fractions with denominator 12.

$$\frac{0.25}{\frac{8}{12}-\frac{15}{12}}$$

Since \frac{8}{12} and \frac{15}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{0.25}{\frac{8-15}{12}}$$

Subtract 15 from 8 to get -7.

$$\frac{0.25}{-\frac{7}{12}}$$

Divide 0.25 by -\frac{7}{12} by multiplying 0.25 by the reciprocal of -\frac{7}{12}.

$$0.25\left(-\frac{12}{7}\right)$$

Convert decimal number 0.25 to fraction \frac{25}{100}. Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\frac{1}{4}\left(-\frac{12}{7}\right)$$

Multiply \frac{1}{4} times -\frac{12}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\left(-12\right)}{4\times 7}$$

Do the multiplications in the fraction \frac{1\left(-12\right)}{4\times 7}.

$$\frac{-12}{28}$$

Reduce the fraction \frac{-12}{28} to lowest terms by extracting and canceling out 4.

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

Factor

$$-\frac{3}{7} = -0.42857142857142855$$