(4/3)+(7/5)(1/2 + 4/9) -(1/5)

asked by guest
on Mar 23, 2025 at 8:49 pm



You asked:

Evaluate the expression: \(\frac{4}{3} + \frac{7}{5} \left(\frac{1}{2} + \frac{4}{9}\right) - \frac{1}{5}\)

MathBot Answer:

\[\frac{4}{3} + \frac{7}{5} \left(\frac{1}{2} + \frac{4}{9}\right) - \frac{1}{5} = \frac{221}{90} = 2.4\overline{5}\]

\[\begin{aligned}\frac{4}{3} + \frac{7}{5} \left(\frac{1}{2} + \frac{4}{9}\right) - \frac{1}{5}&=\frac{4}{3} + \frac{7}{5} \cdot \frac{17}{18} - \frac{1}{5}\\&=\frac{4}{3} + \frac{119}{90} - \frac{1}{5}\\&=\frac{239}{90} - \frac{1}{5}\\&=\frac{221}{90}\end{aligned}\]

+ Submit Question