To convert the number 0 4444444444 into a fraction, we first need to recognize its format. The number can be broken down as follows:
0 4444444444 represents the decimal 0.4444444444. The repeating part of this decimal is ‘4’. To convert a repeating decimal into a fraction, we can use the algebraic method.
Let’s represent the repeating decimal as x = 0.4444444444…. Multiplying both sides by 10, we have:
10x = 4.4444444444…
Next, we can subtract our original equation from this new equation:
10x – x = 4.4444444444… – 0.4444444444…
Doing the subtraction yields:
9x = 4
Now, we can solve for x:
x = 4/9
Thus, 0 4444444444 can be expressed as the fraction 4/9.