Question

question
convert the fraction below into a decimal
\\(\frac{13}{30}\\)

answer
edit the repeating and non - repeating part of the decimal:

submit answer

Explanation:

Step1: Divide 13 by 30

To convert the fraction \(\frac{13}{30}\) to a decimal, we perform the division \(13\div30\).
We know that \(30\times0 = 0\), \(30\times0.4=12\), so we start with \(0.4\) and then we have a remainder of \(13 - 12=1\).

Step2: Add a decimal point and continue dividing

We add a zero to the remainder, making it \(10\). Now we divide \(10\) by \(30\), but \(10<30\), so we add another zero, making it \(100\).
\(30\times3 = 90\), so we write \(3\) after the decimal. The remainder is \(100 - 90 = 10\).
We see that the remainder \(10\) repeats, so the decimal will have a repeating part of \(3\) and a non - repeating part of \(4\).

So, \(\frac{13}{30}=0.4\overline{3}\)

Answer:

\(0.4\overline{3}\) (The non - repeating part is \(4\) and the repeating part is \(3\))