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

asked by guest
on Oct 22, 2024 at 8:38 am



You asked:

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

MathBot Answer:

\[7\frac{1}{3} - 2\frac{1}{4} + 4\frac{1}{3} - \left(2\frac{1}{5} - \frac{3}{4}\right) = \frac{239}{30} = 7.9\overline{6}\]

\[\begin{aligned}7\frac{1}{3} - 2\frac{1}{4} + 4\frac{1}{3} - \left(2\frac{1}{5} - \frac{3}{4}\right)& = 7\frac{1}{3} - \frac{9}{4} + 4\frac{1}{3} - \left(2\frac{1}{5} - \frac{3}{4}\right)\\& = 7\frac{1}{3} - \frac{9}{4} + 4\frac{1}{3} - \frac{29}{20}\\& = \frac{61}{12} + 4\frac{1}{3} - \frac{29}{20}\\& = \frac{113}{12} - \frac{29}{20}\\& = \frac{239}{30}\end{aligned}\]

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