Solve -(5/7*35/99+26/9)

$$- ( \frac { 5 } { 7 } \times \frac { 35 } { 99 } + \frac { 26 } { 9 } )$$

Evaluate

$$-\frac{311}{99}\approx -3.141414141$$

Solution Steps

Multiply \frac{5}{7} times \frac{35}{99} by multiplying numerator times numerator and denominator times denominator.

$$-\left(\frac{5\times 35}{7\times 99}+\frac{26}{9}\right)$$

Do the multiplications in the fraction \frac{5\times 35}{7\times 99}.

$$-\left(\frac{175}{693}+\frac{26}{9}\right)$$

Reduce the fraction \frac{175}{693} to lowest terms by extracting and canceling out 7.

$$-\left(\frac{25}{99}+\frac{26}{9}\right)$$

Least common multiple of 99 and 9 is 99. Convert \frac{25}{99} and \frac{26}{9} to fractions with denominator 99.

$$-\left(\frac{25}{99}+\frac{286}{99}\right)$$

Since \frac{25}{99} and \frac{286}{99} have the same denominator, add them by adding their numerators.

$$-\frac{25+286}{99}$$

Add 25 and 286 to get 311.

$$-\frac{311}{99}$$

Factor

$$-\frac{311}{99} = -3\frac{14}{99} = -3.1414141414141414$$