17/31 as a Decimal

Answer

17/31 in decimals can be written as 0.548387… It is a non-terminating decimal, indicating it does not repeat the same digit infinitely, but continues indefinitely without terminating.

Explanation

To convert 17/31 to decimal, we will use the division method. Since 17 is smaller than 31, we will use the decimal method, which will give us 0.548387. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (17) will be taken as the dividend and the denominator (31) will be taken as the divisor.

Step 2: As 17 is smaller than 31, it can't be divided directly, so we will take the help of decimals. We will add a decimal point in the quotient place and 0 to the dividend, making 17 as 170.

Step 3: Now, we can divide 170 by 31. Let's see how many times 31 fits into 170.

Step 4: 31 fits 5 times into 170, so we write 5 in the quotient place and subtract 155 (31 × 5) from 170, giving us 15.

Step 5: Bring down another 0 in the dividend place, making it 150, and then repeat the division process. The division process continues without terminating.

The answer for 17/31 as a decimal will be approximately 0.548387…

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

• Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.

• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.

• Denominator: The bottom part of a fraction, showing how many parts make up a whole.

• Non-Terminating Decimal: A decimal that continues indefinitely without terminating or repeating.