(1/5 + 1/2)^2 +3/10 x 5

asked by guest
on Oct 23, 2024 at 1:39 pm



You asked:

Evaluate the expression: \({\left( \frac{1}{5} + \frac{1}{2} \right)}^{2} + \frac{3}{10} \cdot 5\)

MathBot Answer:

\[{\left( \frac{1}{5} + \frac{1}{2} \right)}^{2} + \frac{3}{10} \cdot 5 = \frac{199}{100} = 1.99\]


\[\begin{aligned}{\left( \frac{1}{5} + \frac{1}{2} \right)}^{2} + \frac{3}{10} \cdot 5& = \left(\frac{1}{5} + \frac{1}{2}\right)^{2} + \frac{3}{10} \cdot 5\\& = \left(\frac{7}{10}\right)^{2} + \frac{3}{10} \cdot 5\\& = \frac{49}{100} + \frac{3}{10} \cdot 5\\& = \frac{49}{100} + \frac{3}{2}\\& = \frac{199}{100}\end{aligned}\]