Answer:
0.4 repeating as a fraction can be written as 4/9 in fractions.
Step-by-step explanation:
Let's understand the solution in detail.
Explanation:
0.4 repeating is a recurring fraction with infinite decimal places.
To convert it into fractions, we follow the below steps:
First, we can write:
x = 0.4 repeating = 0.444... (1)
Now, we multiply both sides by 10:
⇒ 10x = 4.444... (2)
Subtracting (1) from (2), we get:
⇒ 10x − x = 4.444... - 0.444...
We can now solve for x as follows:
⇒10x − x = (4 + 0.444...) − 0.444...
⇒ (10 − 1) x = 4 + 0
⇒ 9x = 4
⇒x = 4/9
Hence, 0.4 repeating can be written as 4/9 in fractions.
