Solve 7+(-2.6)div2/5

$$7 + ( - 2.6 ) \div \frac { 2 } { 5 }$$

Evaluate

$$0.5$$

Solution Steps

Divide -2.6 by \frac{2}{5} by multiplying -2.6 by the reciprocal of \frac{2}{5}.

$$7-2.6\times \frac{5}{2}$$

Convert decimal number -2.6 to fraction -\frac{26}{10}. Reduce the fraction -\frac{26}{10} to lowest terms by extracting and canceling out 2.

$$7-\frac{13}{5}\times \frac{5}{2}$$

Multiply -\frac{13}{5} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$7+\frac{-13\times 5}{5\times 2}$$

Cancel out 5 in both numerator and denominator.

$$7+\frac{-13}{2}$$

Fraction \frac{-13}{2} can be rewritten as -\frac{13}{2} by extracting the negative sign.

$$7-\frac{13}{2}$$

Convert 7 to fraction \frac{14}{2}.

$$\frac{14}{2}-\frac{13}{2}$$

Since \frac{14}{2} and \frac{13}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{14-13}{2}$$

Subtract 13 from 14 to get 1.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$