Solve -51/3/(frac{4{9})^2}

$$\frac { - 5 \frac { 1 } { 3 } } { ( \frac { 4 } { 9 } ) ^ { 2 } }$$

Evaluate

$$-27$$

Solution Steps

Multiply 5 and 3 to get 15.

$$\frac{-\frac{15+1}{3}}{\left(\frac{4}{9}\right)^{2}}$$

Add 15 and 1 to get 16.

$$\frac{-\frac{16}{3}}{\left(\frac{4}{9}\right)^{2}}$$

Calculate \frac{4}{9} to the power of 2 and get \frac{16}{81}.

$$\frac{-\frac{16}{3}}{\frac{16}{81}}$$

Divide -\frac{16}{3} by \frac{16}{81} by multiplying -\frac{16}{3} by the reciprocal of \frac{16}{81}.

$$-\frac{16}{3}\times \frac{81}{16}$$

Multiply -\frac{16}{3} times \frac{81}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-16\times 81}{3\times 16}$$

Do the multiplications in the fraction \frac{-16\times 81}{3\times 16}.

$$\frac{-1296}{48}$$

Divide -1296 by 48 to get -27.

$$-27$$

Factor

$$-27$$