Solve 17/9a(-3/4c)*21/3=

$$1 \frac { 7 } { 9 } a ( - \frac { 3 } { 4 } c ) \cdot 2 \frac { 1 } { 3 } =$$

Evaluate

$$-\frac{28ac}{9}$$

Solution Steps

Multiply 1 and 9 to get 9.

$$\frac{9+7}{9}a\left(-\frac{3}{4}\right)c\times \frac{2\times 3+1}{3}$$

Add 9 and 7 to get 16.

$$\frac{16}{9}a\left(-\frac{3}{4}\right)c\times \frac{2\times 3+1}{3}$$

Multiply \frac{16}{9} times -\frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{16\left(-3\right)}{9\times 4}ac\times \frac{2\times 3+1}{3}$$

Do the multiplications in the fraction \frac{16\left(-3\right)}{9\times 4}.

$$\frac{-48}{36}ac\times \frac{2\times 3+1}{3}$$

Reduce the fraction \frac{-48}{36} to lowest terms by extracting and canceling out 12.

$$-\frac{4}{3}ac\times \frac{2\times 3+1}{3}$$

Multiply 2 and 3 to get 6.

$$-\frac{4}{3}ac\times \frac{6+1}{3}$$

Add 6 and 1 to get 7.

$$-\frac{4}{3}ac\times \frac{7}{3}$$

Multiply -\frac{4}{3} times \frac{7}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-4\times 7}{3\times 3}ac$$

Do the multiplications in the fraction \frac{-4\times 7}{3\times 3}.

$$\frac{-28}{9}ac$$

Fraction \frac{-28}{9} can be rewritten as -\frac{28}{9} by extracting the negative sign.

$$-\frac{28}{9}ac$$

Expand

$$-\frac{28ac}{9}$$

Solution Steps

Multiply 1 and 9 to get 9.

$$\frac{9+7}{9}a\left(-\frac{3}{4}\right)c\times \frac{2\times 3+1}{3}$$

Add 9 and 7 to get 16.

$$\frac{16}{9}a\left(-\frac{3}{4}\right)c\times \frac{2\times 3+1}{3}$$

Multiply \frac{16}{9} times -\frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{16\left(-3\right)}{9\times 4}ac\times \frac{2\times 3+1}{3}$$

Do the multiplications in the fraction \frac{16\left(-3\right)}{9\times 4}.

$$\frac{-48}{36}ac\times \frac{2\times 3+1}{3}$$

Reduce the fraction \frac{-48}{36} to lowest terms by extracting and canceling out 12.

$$-\frac{4}{3}ac\times \frac{2\times 3+1}{3}$$

Multiply 2 and 3 to get 6.

$$-\frac{4}{3}ac\times \frac{6+1}{3}$$

Add 6 and 1 to get 7.

$$-\frac{4}{3}ac\times \frac{7}{3}$$

Multiply -\frac{4}{3} times \frac{7}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-4\times 7}{3\times 3}ac$$

Do the multiplications in the fraction \frac{-4\times 7}{3\times 3}.

$$\frac{-28}{9}ac$$

Fraction \frac{-28}{9} can be rewritten as -\frac{28}{9} by extracting the negative sign.

$$-\frac{28}{9}ac$$