Question

question
convert the fraction below into a decimal
\\(\frac{23}{40}\\)

answer
edit the repeating and non - repeating part of the decimal:
0.

Explanation:

Step1: Divide numerator by denominator

To convert the fraction $\frac{23}{40}$ to a decimal, we perform the division $23\div40$.
We know that $40\times0.5 = 20$, so we start with $0.5$. Then $23 - 20=3$. We bring down a zero (making it 30, but since we are dealing with decimals, we can think of it as $3.0$). Now we divide $3.0$ by $40$. Since $40\times0.07 = 2.8$, we add $0.07$ to our previous result of $0.5$, getting $0.57$. Then $3.0 - 2.8 = 0.2$. We bring down another zero, making it $2.0$. $40\times0.005=0.2$, so we add $0.005$ to our result, getting $0.575$.

Step2: Check for repeating part

Since the division terminates (we got a remainder of 0 after adding the last digit), there is no repeating part. The decimal is a terminating decimal.

Answer:

The decimal form of $\frac{23}{40}$ is $0.575$, with no repeating part (the non - repeating part is $575$ and there is no repeating part).