Convert the fraction below into a decimal

7/30

3 answers

To convert the fraction \( \frac{7}{30} \) into a decimal, you can divide the numerator (7) by the denominator (30).

Performing the division:

\[ 7 \div 30 = 0.2333\ldots \]

The decimal repeats with a 3, so it can be rounded or expressed as:

\[ \frac{7}{30} \approx 0.2333 \]

Thus, the decimal representation of \( \frac{7}{30} \) is approximately \( 0.2333 \) (or \( 0.23\overline{3} \) to indicate the repeating part).

Edit the repeating and non-repeating part of the decimal:

The decimal representation of \( \frac{7}{30} \) can be expressed with the repeating and non-repeating parts clearly defined. The decimal is:

\[ 0.23\overline{3} \]

In this notation, \( 0.23 \) is the non-repeating part, and the \( \overline{3} \) indicates that the digit \( 3 \) repeats indefinitely.

So, to summarize:

  • Non-repeating part: \( 0.23 \)
  • Repeating part: \( 3 \) (which repeats indefinitely)