Question

convert the fraction below into a decimal
\\(\frac{14}{15}\\)
answer
edit the repeating and non-repeating part of the decimal:
0 .
submit answer

Explanation:

Step1: Divide 14 by 15

To convert the fraction $\frac{14}{15}$ to a decimal, we perform the division $14 \div 15$.
We know that $15\times0.9 = 13.5$, and $14 - 13.5 = 0.5$. Then we bring down a zero (making it 5.0) and divide by 15: $5.0\div15 = 0.333\cdots$.
So combining these, $14\div15 = 0.9333\cdots$.

Step2: Identify non - repeating and repeating parts

The decimal expansion of $\frac{14}{15}$ is $0.9\overline{3}$, where the non - repeating part is '9' and the repeating part is '3'.

Answer:

The non - repeating part is 9 and the repeating part is 3, so the decimal is $0.\ 9\ \overline{3}$ (filling in the blanks: first blank 9, second blank $\overline{3}$)