Question

please help me at maths​

Answer 1

Answer:

Step-by-step explanation:

let x = 3.8888888....

then 10x = 38.88888.....

9x=38.88888...-3.88888..=35

x=35/9

i hope it helps and that my answer was best :-)

Answer 2

Answer :

$\frac{35}{9}$

Step-by-step explanation :

How to solve :-

As we know rational numbers are the real numbers, which can be expressed in $\frac{p}{q}$ form where q ≠ 0.

As the given number is $3.{\bar{8}}$ and it's decimal is at one place. So, we have to assume x = $3.{\bar{8}}$ which is equal to 3.888.......Then x will be multiplied with $3.{\bar{8}}$ = 3.888... both the sides and again we've to put the value of x and subtract x both the sides. It will be easier to find the value of x = $3.{\bar{8}}$ in $\frac{p}{q}$ form.

Given :-

$3.{\bar{8}}$

To find :-

$\frac{p}{q}$ form

Solution :-

$Let \: x = \sf{3.\overline{8}} = 3.888.... \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ => \: 10x = 3.888... \times 10 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ => \: 10x = 38.888.... \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ => \:10x - x = 38.888.... - x \: \: \: \: \: \: \: \: \\ => \:10x - x = 38.888... - 3.888..\\ => \:9x = 35 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ => \:x = \frac{35}{9} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

So, $3.{\bar{8}}$ can be written as $\frac{35}{9}$ in $\frac{p}{q}$ form.