To convert the decimal 1.29166667 to a fraction, we first note that the decimal repeats. This can be represented as 1.2916 with the 6 repeating. To convert this to a fraction, we can set x = 1.2916 and 10000x = 12916. Subtracting the two equations gives 9999x = 12915, which simplifies to x = 12915/9999. Therefore, 1.29166667 as a fraction is 12915/9999.
Chat with our AI personalities
Sweetie, 1.29166667 as a fraction is 1 7/24. It's like trying to fit a square peg in a round hole, but we got there in the end. Next time, just remember to carry the one and simplify like your life depends on it.
Oh, dude, you're hitting me with the math questions now? Alright, fine. So, 1.29166667 as a fraction is technically 1 and 35/72. But, like, who even needs to know that? Just stick with the decimal, it's way easier.
Answer: 129,166,667/100,000,000 or 1 29,166,667/100,000,000
Solution Method:
- Separate the # into the whole # & decimal # parts:
1.29166667 = 1 + .29166667
- Change the decimal # into a proper fraction using the multiplicative property of 1:
.29166667 * 100,000,000/100,000,000 = 29,166,667/100,000,000 - Add the original whole # to the fraction to make a mixed fraction:
1 + 29,166,667/100,000,000 = 1 29,166,667/100,000,000
- Convert the mixed fraction to a proper fraction (i.e. (whole # * denominator + numerator) / denominator)
(1 * 100,000,000 + 29, 166,667) / 100,000,000 = 129,166,667/100,000,000
129166667 / 100000000
Every fraction is an equivalent fraction: each fraction in decimal form has an equivalent rational fraction as well as an equivalent percentage fraction.
A fraction that has a different sign to the first fraction.
Divide the fraction by 100, and you will get the percentage of a fraction.
Or both. That's a complex fraction.