(-3/5 + (1/2 -1/4))-(3/10+(-3/4-11/20))=

asked by guest
on Oct 09, 2024 at 4:13 am



You asked:

Evaluate the expression: \(-\left( \frac{3}{5} \right) + \frac{1}{2} - \frac{1}{4} - \left(\frac{3}{10} + \frac{-3}{4} - \frac{11}{20}\right)\)

MathBot Answer:

\[-\left( \frac{3}{5} \right) + \frac{1}{2} - \frac{1}{4} - \left(\frac{3}{10} + \frac{-3}{4} - \frac{11}{20}\right) = \frac{13}{20} = 0.65\]

\[\begin{aligned}-\left( \frac{3}{5} \right) + \frac{1}{2} - \frac{1}{4} - \left(\frac{3}{10} + \frac{-3}{4} - \frac{11}{20}\right)& = - \frac{3}{5} + \frac{1}{2} - \frac{1}{4} - \left(\frac{3}{10} - \frac{3}{4} - \frac{11}{20}\right)\\& = - \frac{3}{5} + \frac{1}{2} - \frac{1}{4} - \left(- \frac{9}{20} - \frac{11}{20}\right)\\& = - \frac{3}{5} + \frac{1}{2} - \frac{1}{4} - -1\\& = - \frac{3}{5} + \frac{1}{2} - \frac{1}{4} + 1\\& = - \frac{1}{10} - \frac{1}{4} + 1\\& = - \frac{7}{20} + 1\\& = \frac{13}{20}\end{aligned}\]

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