Solve {left(28/12div39/12right)}^2=

$${ \left( \frac{ 28 }{ 12 } \div \frac{ 39 }{ 12 } \right) }^{ 2 } =$$

Evaluate

$$\frac{784}{1521}\approx 0.515450362$$

Solution Steps

Divide \frac{28}{12} by \frac{39}{12} by multiplying \frac{28}{12} by the reciprocal of \frac{39}{12}.

$$\left(\frac{28\times 12}{12\times 39}\right)^{2}$$

Cancel out 3\times 4 in both numerator and denominator.

$$\left(\frac{4\times 7}{39}\right)^{2}$$

Multiply 4 and 7 to get 28.

$$\left(\frac{28}{39}\right)^{2}$$

Calculate \frac{28}{39} to the power of 2 and get \frac{784}{1521}.

$$\frac{784}{1521}$$

Factor

$$\frac{2 ^ {4} \cdot 7 ^ {2}}{3 ^ {2} \cdot 13 ^ {2}} = 0.5154503616042078$$