(7 1/5 + 4 5/8) รท 11/4 + 6 1/4

asked by guest
on Nov 18, 2024 at 3:27 pm



You asked:

Evaluate the expression: \(\frac{\frac{7\frac{1}{5} + 4\frac{5}{8}}{11}}{4} + 6\frac{1}{4}\)

MathBot Answer:

\[\frac{\frac{7\frac{1}{5} + 4\frac{5}{8}}{11}}{4} + 6\frac{1}{4} = \frac{1043}{160} = 6.51875\]


\[\begin{aligned}\frac{\frac{7\frac{1}{5} + 4\frac{5}{8}}{11}}{4} + 6\frac{1}{4}& = \left(7\frac{1}{5} + 4\frac{5}{8}\right) \cdot \frac{1}{11} \cdot \frac{1}{4} + 6\frac{1}{4}\\& = \frac{473}{40} \cdot \frac{1}{11} \cdot \frac{1}{4} + 6\frac{1}{4}\\& = \frac{473}{40} \cdot \frac{1}{44} + 6\frac{1}{4}\\& = \frac{43}{160} + 6\frac{1}{4}\\& = \frac{1043}{160}\end{aligned}\]