17/31 as a Decimal

Professor Greenline Explaining Math Concepts

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Intermediate

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It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: numerator (number on the top) here, 17 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 31. A decimal is a way to represent a number that is not whole, using a (.) or a decimal to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 17/31 as a decimal?

$17/31 as a decimal$

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…