+0

# please me on number theory

+2
85
2
+344

What is $$\frac{0.\overline{03}}{0.0\overline3}$$? Express your answer as a mixed number.

Jul 29, 2020

#1
+27970
+1

.030303  =   3/99

.033333= 1/30       can you take it from here??

Jul 29, 2020
#2
+1154
+2

we know that   $$0.\overline{03}=3/99$$ and $$0.0\overline{3}=1/30$$ so we have the equation $$\dfrac{3/99}{1/30}=\dfrac{30}{99/3}=\dfrac{30}{33}=\dfrac{10}{11}$$so our final answer is $$\Huge{\boxed{\boxed{\boxed{\boxed{\dfrac{10}{11}}}}}}$$

Jul 29, 2020