Solve 2.5+(-8)div6/5*3.5

$$2.5 + ( - 8 ) \div \frac { 6 } { 5 } \times 3.5$$

Evaluate

$$-\frac{125}{6}\approx -20.833333333$$

Solution Steps

Divide -8 by \frac{6}{5} by multiplying -8 by the reciprocal of \frac{6}{5}.

$$2.5-8\times \frac{5}{6}\times 3.5$$

Express -8\times \frac{5}{6} as a single fraction.

$$2.5+\frac{-8\times 5}{6}\times 3.5$$

Multiply -8 and 5 to get -40.

$$2.5+\frac{-40}{6}\times 3.5$$

Reduce the fraction \frac{-40}{6} to lowest terms by extracting and canceling out 2.

$$2.5-\frac{20}{3}\times 3.5$$

Convert decimal number 3.5 to fraction \frac{35}{10}. Reduce the fraction \frac{35}{10} to lowest terms by extracting and canceling out 5.

$$2.5-\frac{20}{3}\times \frac{7}{2}$$

Multiply -\frac{20}{3} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

$$2.5+\frac{-20\times 7}{3\times 2}$$

Do the multiplications in the fraction \frac{-20\times 7}{3\times 2}.

$$2.5+\frac{-140}{6}$$

Reduce the fraction \frac{-140}{6} to lowest terms by extracting and canceling out 2.

$$2.5-\frac{70}{3}$$

Convert decimal number 2.5 to fraction \frac{25}{10}. Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.

$$\frac{5}{2}-\frac{70}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{5}{2} and \frac{70}{3} to fractions with denominator 6.

$$\frac{15}{6}-\frac{140}{6}$$

Since \frac{15}{6} and \frac{140}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-140}{6}$$

Subtract 140 from 15 to get -125.

$$-\frac{125}{6}$$

Factor

$$-\frac{125}{6} = -20\frac{5}{6} = -20.833333333333332$$