Solve 25+(-8)div6/5*35

$$25 + ( - 8 ) \div \frac { 6 } { 5 } \times 35$$

Evaluate

$$-\frac{625}{3}\approx -208.333333333$$

Solution Steps

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

$$25-8\times \frac{5}{6}\times 35$$

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

$$25+\frac{-8\times 5}{6}\times 35$$

Multiply -8 and 5 to get -40.

$$25+\frac{-40}{6}\times 35$$

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

$$25-\frac{20}{3}\times 35$$

Express -\frac{20}{3}\times 35 as a single fraction.

$$25+\frac{-20\times 35}{3}$$

Multiply -20 and 35 to get -700.

$$25+\frac{-700}{3}$$

Fraction \frac{-700}{3} can be rewritten as -\frac{700}{3} by extracting the negative sign.

$$25-\frac{700}{3}$$

Convert 25 to fraction \frac{75}{3}.

$$\frac{75}{3}-\frac{700}{3}$$

Since \frac{75}{3} and \frac{700}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{75-700}{3}$$

Subtract 700 from 75 to get -625.

$$-\frac{625}{3}$$

Factor

$$-\frac{625}{3} = -208\frac{1}{3} = -208.33333333333334$$