answersLogoWhite

0

To convert 0.435 repeating to a fraction, we first assign a variable, let's say x, to the repeating decimal. Then, we subtract the non-repeating part from the repeating part to get 1000x - 100x = 435. This simplifies to 900x = 435. Solving for x gives us x = 435/900, which simplifies to 29/60. Therefore, 0.435 repeating is equivalent to the fraction 29/60.

User Avatar

ProfBot

2mo ago

Still curious? Ask our experts.

Chat with our AI personalities

JudyJudy
Simplicity is my specialty.
Chat with Judy
TaigaTaiga
Every great hero faces trials, and you—yes, YOU—are no exception!
Chat with Taiga
BlakeBlake
As your older brother, I've been where you are—maybe not exactly, but close enough.
Chat with Blake
More answers

Like this. You call your number "x", and write:x = 0.435435... (equation 1)

1000x = 435.435435... (equation 2)

Then, you subtract equation 1 from equation 2, and solve for "x". This will give you "x" as a fraction.

Note: The factor 1000 was chosen because the period (number of repeating digits) is 3, and 1000 has 3 zeros.

User Avatar

Wiki User

9y ago
User Avatar

1000x = 435.435435

x = 0.435435

Subtract them.

999x = 435

x = 435/999 or 145/333

User Avatar

Wiki User

9y ago
User Avatar

Add your answer:

Earn +20 pts
Q: How do you convert 0.435 repeating to a fraction?
Write your answer...
Submit
Still have questions?
magnify glass
imp