(3/16)+(13/16)/(39/15)/(4/3)

asked by guest
on Nov 15, 2024 at 10:42 pm



You asked:

Evaluate the expression: \(\frac{3}{16} + \frac{\frac{\frac{13}{16}}{\frac{39}{15}}}{\frac{4}{3}}\)

MathBot Answer:

\[\frac{3}{16} + \frac{\frac{\frac{13}{16}}{\frac{39}{15}}}{\frac{4}{3}} = \frac{27}{64} = 0.421875\]

\[\begin{aligned}\frac{3}{16} + \frac{\frac{\frac{13}{16}}{\frac{39}{15}}}{\frac{4}{3}}& = \frac{3}{16} + \frac{13}{16} \cdot \frac{1}{\frac{39}{15}} \cdot \frac{1}{\frac{4}{3}}\\& = \frac{3}{16} + \frac{13}{16} \cdot \frac{5}{13} \cdot \frac{1}{\frac{4}{3}}\\& = \frac{3}{16} + \frac{13}{16} \cdot \frac{15}{52}\\& = \frac{3}{16} + \frac{15}{64}\\& = \frac{27}{64}\end{aligned}\]

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