how do i convert this decimal problem into a fraction?
.0133333 (repeating)
2007-09-17 14:10:00 · 2 answers · asked by IDchecker27 2 in Science & Mathematics ➔ Mathematics
0.0133333...
= 1.3333.. / 100
= 4 / 300 = 1 / 75
If you type that fraction into a calculator, you will get that display. So, answer is right.
Now, to understand how we got it:
We first multilied the decimal by 100 to bring the decimal point two places to the right thus getting 1.3333 etc. and so kept the 100 in the denominator.
0.3333....is 1/3 so we added 1 and 1/3 getting 4/3
We multiplied the 3 in the denominator with the 100 and got the final value.
2007-09-17 14:19:19 · answer #1 · answered by Swamy 7 · 0⤊ 0⤋
0.013333 = 1/75 answer
Step 1 is to get the reciprocal of that given decimals like 1/0.0133333 = to 75
Step 2 Take the reciprocal of 75 which =1/75 or 0.0133333
may this helps you. enjoy!!
2007-09-17 21:18:21 · answer #2 · answered by Ephesians 2:8 4 · 0⤊ 0⤋