which number is equivalent to 0.7 repeating?

7/9

n digits 0.abcd...n = (abcd...n)/(n 9's)

Thank you Steve

7/9

Very good

it is 7/10

0.7 repeating? Well, that's an interesting number! It's like chasing after a squirrel that keeps running in circles. You get close, but you can never quite catch it! Mathematically speaking, the number equivalent to 0.7 repeating is 7/9. But don't worry, you won't need to chase any squirrels to find the answer.

To find a number equivalent to 0.7 repeating, we can use the concept of infinite decimals.

Let's call the number equivalent to 0.7 repeating as "x". The repeating decimal notation can be written as 0.7777... (with the 7s repeating infinitely).

To convert this repeating decimal into a fraction, we need to multiply it by a power of 10 to eliminate the repeating part. In this case, to eliminate the repeating 7s, we multiply it by 10:

10x = 7.7777...

Now, let's subtract the original equation from this equation to eliminate the repeating part:

10x - x = 7.7777... - 0.7777...

Simplifying this equation, we get:

9x = 7

To isolate "x", we divide both sides of the equation by 9:

9x / 9 = 7 / 9

Simplifying further, we find:

x = 7/9

Therefore, the number equivalent to 0.7 repeating is 7/9.