Question

What is 0.46 with 6 repeating as a fraction

Answer 1

The answer is 7/15
hope it helps

Answer 2

Answer:

x =  $\frac{7}{15}$.

Step-by-step explanation:

Given :  0.46 with 6 repeating .

To find :  repeating as a fraction

Given  : We have given  0.46666

Let  x = 0.4666...

By the recurring rule .

On multiplying both sides by 10

10 x = 10  *  0.466666

10x = 4.66666

we can write 4.666 in term of x

4.2 + 0.46666

10x = 4.2 + 0.46666

10x = 4.2 + x .

10x -x = 4.2

9x = 4.2

On dividing both sides by 9

x = $\frac{4.2}{9}$.

x =  $\frac{42}{90}$.

x =  $\frac{7}{15}$.

Therefore, x =  $\frac{7}{15}$.