16/17 as a Decimal

Professor Greenline Explaining Math Concepts

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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: the numerator (number on the top) here, 16, which represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 17. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point 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 16/17 as a decimal?

$16/17 as a decimal$ Answer

16/17 in decimals can be written as approximately 0.941176. It is a non-recurring, non-terminating decimal that does not repeat infinitely.

Explanation

To get 16/17 in decimal, we will use the division method. Here, 16 is smaller than 17, so we will take the help of the decimal method, which will give us approximately 0.941176. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (16) will be taken as the dividend and the denominator (17) will be taken as the divisor.

Step 2: As 16 is smaller than 17, it can't be divided directly, so we will take the help of decimals. We will add 0 to the dividend, which will make 16 as 160, and add a decimal point in the quotient place.

Step 3: Now that it is 160, we can divide it by 17. Let's see how many times 17 makes 160.

Step 4: 160 is not a multiple of 17, so we will look for the nearest number that is 17 × 9 = 153. We will write 9 in the quotient place and subtract 153 from 160, which gives us 7.

Step 5: Bring down another 0 in the dividend place, making it 70, and then repeat the division process. The division process continues, giving us a non-recurring, non-terminating decimal value.

The answer for 16/17 as a decimal will be approximately 0.941176.

Important Glossaries for 16/17 as a decimal

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-recurring Decimal: A decimal that does not repeat infinitely and does not terminate.