Solve 535*13-26*(7/9+5/6+7/18)+(-4.035)*13

$$535 \times 13 - 26 \times ( \frac { 7 } { 9 } + \frac { 5 } { 6 } + \frac { 7 } { 18 } ) + ( - 4.035 ) \times 13$$

Evaluate

$$6850.545$$

Solution Steps

Multiply 535 and 13 to get 6955.

$$6955-26\left(\frac{7}{9}+\frac{5}{6}+\frac{7}{18}\right)-4.035\times 13$$

Least common multiple of 9 and 6 is 18. Convert \frac{7}{9} and \frac{5}{6} to fractions with denominator 18.

$$6955-26\left(\frac{14}{18}+\frac{15}{18}+\frac{7}{18}\right)-4.035\times 13$$

Since \frac{14}{18} and \frac{15}{18} have the same denominator, add them by adding their numerators.

$$6955-26\left(\frac{14+15}{18}+\frac{7}{18}\right)-4.035\times 13$$

Add 14 and 15 to get 29.

$$6955-26\left(\frac{29}{18}+\frac{7}{18}\right)-4.035\times 13$$

Since \frac{29}{18} and \frac{7}{18} have the same denominator, add them by adding their numerators.

$$6955-26\times \frac{29+7}{18}-4.035\times 13$$

Add 29 and 7 to get 36.

$$6955-26\times \frac{36}{18}-4.035\times 13$$

Divide 36 by 18 to get 2.

$$6955-26\times 2-4.035\times 13$$

Multiply 26 and 2 to get 52.

$$6955-52-4.035\times 13$$

Subtract 52 from 6955 to get 6903.

$$6903-4.035\times 13$$

Multiply -4.035 and 13 to get -52.455.

$$6903-52.455$$

Subtract 52.455 from 6903 to get 6850.545.

$$6850.545$$

Factor

$$\frac{3 \cdot 13 \cdot 19 \cdot 43 ^ {2}}{2 ^ {3} \cdot 5 ^ {2}} = 6850\frac{109}{200} = 6850.545$$