How convert 7.1 repeating into a fraction?

Answer 1

7.11111...=7 1/9 or 64/9

Answer 2

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.

Answer 3

Oh, isn't that a happy little question? To convert 7.1 repeating into a fraction, we can let x = 7.1 with the 1 repeating. Multiply x by 10 to get 71.1, then subtract x to get 10x - x = 71.1 - 7.1. Simplify that equation to find the fraction form of 7.1 repeating.

Answer 4

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.