56.25×0.14÷12

asked by guest
on Nov 15, 2024 at 8:03 pm



You asked:

Evaluate the expression: \(\frac{56.25 \cdot 0.14}{12}\)

MathBot Answer:

\[\frac{56.25 \cdot 0.14}{12} = \frac{21}{32} = 0.65625\]


\[\begin{aligned}\frac{56.25 \cdot 0.14}{12}& = \left(56 + \frac{25}{100}\right) \cdot \frac{14}{100} \cdot \frac{1}{12}\\& = \left(56 + \frac{1}{4}\right) \cdot \frac{14}{100} \cdot \frac{1}{12}\\& = \frac{225}{4} \cdot \frac{14}{100} \cdot \frac{1}{12}\\& = \frac{225}{4} \cdot \frac{14}{1200}\\& = \frac{1575}{2} \cdot \frac{1}{1200}\\& = \frac{21}{32}\end{aligned}\]