2*22/7*0.147*5.6

asked by guest
on Oct 20, 2024 at 4:24 pm



You asked:

Evaluate the expression: \(\frac{2 \cdot 22}{7} \cdot 0.147 \cdot 5.6\)

MathBot Answer:

\[\frac{2 \cdot 22}{7} \cdot 0.147 \cdot 5.6 = \frac{3234}{625} = 5.1744\]


\[\begin{aligned}\frac{2 \cdot 22}{7} \cdot 0.147 \cdot 5.6& = 2 \cdot \frac{22}{7} \cdot \frac{147}{1000} \cdot \left(5 + \frac{6}{10}\right)\\& = 2 \cdot \frac{22}{7} \cdot \frac{147}{1000} \cdot \left(5 + \frac{3}{5}\right)\\& = 2 \cdot \frac{22}{7} \cdot \frac{147}{1000} \cdot \frac{28}{5}\\& = \frac{44}{7} \cdot \frac{147}{1000} \cdot \frac{28}{5}\\& = \frac{924}{1000} \cdot \frac{28}{5}\\& = \frac{231}{250} \cdot \frac{28}{5}\\& = \frac{3234}{625}\end{aligned}\]