+0

# Decimals

0
36
1

Convert thsi repeating decimal into a fraction:

0.435454545454...

Jul 5, 2022

#1
+2275
+1

Let $$x = 0.43 \overline{54}$$

This means that $$100x = 43.\overline{54}$$ and $$10,000x = 4354.\overline{54}$$

Subtracting the 2 gives us $$9900x = 4311$$, meaning $$x = {4311 \over 9900} = \color{brown}\boxed{479 \over1100}$$

Jul 5, 2022