Oh, dude, converting a repeating decimal to a fraction? That's like trying to teach a cat to fetch. But hey, here's the deal: 7.1 repeating is the same as 7.1111... forever. So, you can set x = 7.1111... and then subtract 0.1x from x to get 7x - 0.1x = 7.1111... - 0.1111... and solve for x to get the fraction. It's like math magic, but with more decimals.
To convert 7.1 with the 1 repeating into a fraction, we can set x = 7.111... (repeating). Multiplying x by 10 to shift the decimal point gives 10x = 71.111... Subtracting x from 10x eliminates the repeating decimal, giving 9x = 71. Subtracting 7 from both sides gives x = 71/9, which simplifies to 7 8/9. So, 7.1 repeating is equivalent to the fraction 71/9 or 7 8/9.
0.6666 repeating = 2/3
123/999
To express 0.16 repeating as a percentage, we first need to convert it to a fraction. Since the decimal 0.16 repeats indefinitely, we can represent it as 16/99 in fraction form. To convert this fraction to a percentage, we multiply by 100 to get 1600/99. Therefore, 0.16 repeating is equivalent to approximately 16.16% when rounded to two decimal places.
0.161616... = 16/99 which cannot be simplified.
To convert 0.52 with the 2 repeating to a fraction, we can represent it as x = 0.5222... (with the 2 repeating). To find the fraction form, we can subtract x from 100x to get 99x = 52.22... - 0.52, which simplifies to 99x = 52. To get x by itself, we divide both sides by 99, resulting in x = 52/99. Therefore, 0.52 with the 2 repeating as a fraction is 52/99.
It is: 71/99 = 0.717171 .... repeating
0.2 a repeating decimal into a fraction = 2/9
0.6666 repeating = 2/3
0.999 repeating = 1 (the integer).
If you convert repeating decimals into a fraction, you see that the repeating decimals are rational.
It is 2/3.
56/99
Just have a go.
sexx
123/999
998/999
0.555555555... = 5/9