Solve {l}{5/35}{*(1/2)^2}

$$\left. \begin{array} { l } { \frac { 5 } { 3 } 5 } \\ { \times ( \frac { 1 } { 2 } ) ^ { 2 } } \end{array} \right.$$

Evaluate

$$\frac{25}{12}\approx 2.083333333$$

Solution Steps

Express \frac{5}{3}\times 5 as a single fraction.

$$\frac{5\times 5}{3}\times \left(\frac{1}{2}\right)^{2}$$

Multiply 5 and 5 to get 25.

$$\frac{25}{3}\times \left(\frac{1}{2}\right)^{2}$$

Calculate \frac{1}{2} to the power of 2 and get \frac{1}{4}.

$$\frac{25}{3}\times \frac{1}{4}$$

Multiply \frac{25}{3} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\times 1}{3\times 4}$$

Do the multiplications in the fraction \frac{25\times 1}{3\times 4}.

$$\frac{25}{12}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {2} \cdot 3} = 2\frac{1}{12} = 2.0833333333333335$$