Solve -2/6(5/9p-7/9)

$$- \frac { 2 } { 6 } ( \frac { 5 } { 9 } p - \frac { 7 } { 9 } )$$

Evaluate

$$\frac{7-5p}{27}$$

Solution Steps

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

$$-\frac{1}{3}\left(\frac{5}{9}p-\frac{7}{9}\right)$$

Use the distributive property to multiply -\frac{1}{3} by \frac{5}{9}p-\frac{7}{9}.

$$-\frac{1}{3}\times \frac{5}{9}p-\frac{1}{3}\left(-\frac{7}{9}\right)$$

Multiply -\frac{1}{3} times \frac{5}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-5}{3\times 9}p-\frac{1}{3}\left(-\frac{7}{9}\right)$$

Do the multiplications in the fraction \frac{-5}{3\times 9}.

$$\frac{-5}{27}p-\frac{1}{3}\left(-\frac{7}{9}\right)$$

Fraction \frac{-5}{27} can be rewritten as -\frac{5}{27} by extracting the negative sign.

$$-\frac{5}{27}p-\frac{1}{3}\left(-\frac{7}{9}\right)$$

Multiply -\frac{1}{3} times -\frac{7}{9} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{5}{27}p+\frac{-\left(-7\right)}{3\times 9}$$

Do the multiplications in the fraction \frac{-\left(-7\right)}{3\times 9}.

$$-\frac{5}{27}p+\frac{7}{27}$$

Expand

$$\frac{7-5p}{27}$$

Solution Steps

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

$$-\frac{1}{3}\left(\frac{5}{9}p-\frac{7}{9}\right)$$

Use the distributive property to multiply -\frac{1}{3} by \frac{5}{9}p-\frac{7}{9}.

$$-\frac{1}{3}\times \frac{5}{9}p-\frac{1}{3}\left(-\frac{7}{9}\right)$$

Multiply -\frac{1}{3} times \frac{5}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-5}{3\times 9}p-\frac{1}{3}\left(-\frac{7}{9}\right)$$

Do the multiplications in the fraction \frac{-5}{3\times 9}.

$$\frac{-5}{27}p-\frac{1}{3}\left(-\frac{7}{9}\right)$$

Fraction \frac{-5}{27} can be rewritten as -\frac{5}{27} by extracting the negative sign.

$$-\frac{5}{27}p-\frac{1}{3}\left(-\frac{7}{9}\right)$$

Multiply -\frac{1}{3} times -\frac{7}{9} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{5}{27}p+\frac{-\left(-7\right)}{3\times 9}$$

Do the multiplications in the fraction \frac{-\left(-7\right)}{3\times 9}.

$$-\frac{5}{27}p+\frac{7}{27}$$