Solve 4left(9/4+5/7(-7)right)

$$4 \left( \frac{ 9 }{ 4 } + \frac{ 5 }{ 7 } (-7) \right)$$

Evaluate

$$-11$$

Solution Steps

Express \frac{5}{7}\left(-7\right) as a single fraction.

$$4\left(\frac{9}{4}+\frac{5\left(-7\right)}{7}\right)$$

Multiply 5 and -7 to get -35.

$$4\left(\frac{9}{4}+\frac{-35}{7}\right)$$

Divide -35 by 7 to get -5.

$$4\left(\frac{9}{4}-5\right)$$

Convert 5 to fraction \frac{20}{4}.

$$4\left(\frac{9}{4}-\frac{20}{4}\right)$$

Since \frac{9}{4} and \frac{20}{4} have the same denominator, subtract them by subtracting their numerators.

$$4\times \frac{9-20}{4}$$

Subtract 20 from 9 to get -11.

$$4\left(-\frac{11}{4}\right)$$

Cancel out 4 and 4.

$$-11$$

Factor

$$-11$$