Solve 2/3(58,025/59,049)/frac{1{3}}

$$\frac { \frac { 2 } { 3 } ( \frac { 58,025 } { 59,049 } ) } { \frac { 1 } { 3 } }$$

Evaluate

$$\frac{116050}{59049}\approx 1.96531694$$

Solution Steps

Multiply \frac{2}{3} times \frac{58025}{59049} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{2\times 58025}{3\times 59049}}{\frac{1}{3}}$$

Do the multiplications in the fraction \frac{2\times 58025}{3\times 59049}.

$$\frac{\frac{116050}{177147}}{\frac{1}{3}}$$

Divide \frac{116050}{177147} by \frac{1}{3} by multiplying \frac{116050}{177147} by the reciprocal of \frac{1}{3}.

$$\frac{116050}{177147}\times 3$$

Express \frac{116050}{177147}\times 3 as a single fraction.

$$\frac{116050\times 3}{177147}$$

Multiply 116050 and 3 to get 348150.

$$\frac{348150}{177147}$$

Reduce the fraction \frac{348150}{177147} to lowest terms by extracting and canceling out 3.

$$\frac{116050}{59049}$$

Factor

$$\frac{2 \cdot 5 ^ {2} \cdot 11 \cdot 211}{3 ^ {10}} = 1\frac{57001}{59049} = 1.9653169401683348$$