1.09รท7.5=
You asked:
Evaluate the expression: \(\frac{1.09}{7.5}\)
MathBot Answer:
\[\frac{1.09}{7.5} = \frac{109}{750} = 0.145\overline{3}\]
\[\begin{aligned}\frac{1.09}{7.5}& = \left(1 + \frac{9}{100}\right) \cdot \frac{1}{7 + \frac{5}{10}}\\& = \frac{109}{100} \cdot \frac{1}{7 + \frac{5}{10}}\\& = \frac{109}{100} \cdot \frac{1}{7 + \frac{1}{2}}\\& = \frac{109}{100} \cdot \frac{1}{\frac{15}{2}}\\& = \frac{109}{750}\end{aligned}\]