2×(22/7)×3×10.5+(22/7)×32

asked by guest
on Nov 19, 2024 at 8:24 pm



You asked:

Evaluate the expression: \(2 \cdot \frac{22}{7} \cdot 3 \cdot 10.5 + \frac{22}{7} \cdot 32\)

MathBot Answer:

\[2 \cdot \frac{22}{7} \cdot 3 \cdot 10.5 + \frac{22}{7} \cdot 32 = \frac{2090}{7} = 298.\overline{571428}\]

\[\begin{aligned}2 \cdot \frac{22}{7} \cdot 3 \cdot 10.5 + \frac{22}{7} \cdot 32& = 2 \cdot \frac{22}{7} \cdot 3 \cdot \left(10 + \frac{5}{10}\right) + \frac{22}{7} \cdot 32\\& = 2 \cdot \frac{22}{7} \cdot 3 \cdot \left(10 + \frac{1}{2}\right) + \frac{22}{7} \cdot 32\\& = 2 \cdot \frac{22}{7} \cdot 3 \cdot \frac{21}{2} + \frac{22}{7} \cdot 32\\& = \frac{44}{7} \cdot 3 \cdot \frac{21}{2} + \frac{22}{7} \cdot 32\\& = \frac{132}{7} \cdot \frac{21}{2} + \frac{22}{7} \cdot 32\\& = 198 + \frac{22}{7} \cdot 32\\& = 198 + \frac{704}{7}\\& = \frac{2090}{7}\end{aligned}\]

+ Submit Question