Solve (3div5)--1.4/(3div5)+-1.4

$$\frac{ (3 \div 5)--1.4 }{ (3 \div 5)+-1.4 }$$

Evaluate

$$-2.5$$

Solution Steps

The opposite of -1.4 is 1.4.

$$\frac{\frac{3}{5}+1.4}{\frac{3}{5}-1.4}$$

Convert decimal number 1.4 to fraction \frac{14}{10}. Reduce the fraction \frac{14}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{3}{5}+\frac{7}{5}}{\frac{3}{5}-1.4}$$

Since \frac{3}{5} and \frac{7}{5} have the same denominator, add them by adding their numerators.

$$\frac{\frac{3+7}{5}}{\frac{3}{5}-1.4}$$

Add 3 and 7 to get 10.

$$\frac{\frac{10}{5}}{\frac{3}{5}-1.4}$$

Divide 10 by 5 to get 2.

$$\frac{2}{\frac{3}{5}-1.4}$$

Convert decimal number 1.4 to fraction \frac{14}{10}. Reduce the fraction \frac{14}{10} to lowest terms by extracting and canceling out 2.

$$\frac{2}{\frac{3}{5}-\frac{7}{5}}$$

Since \frac{3}{5} and \frac{7}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2}{\frac{3-7}{5}}$$

Subtract 7 from 3 to get -4.

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

Divide 2 by -\frac{4}{5} by multiplying 2 by the reciprocal of -\frac{4}{5}.

$$2\left(-\frac{5}{4}\right)$$

Express 2\left(-\frac{5}{4}\right) as a single fraction.

$$\frac{2\left(-5\right)}{4}$$

Multiply 2 and -5 to get -10.

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

Reduce the fraction \frac{-10}{4} to lowest terms by extracting and canceling out 2.

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

Factor

$$-2.5$$