16/18 as a Decimal

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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 from the whole. It has two parts, the numerator (number on the top), here 16 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 18. A decimal is a way to represent the 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 that to the right represents the fractional part.

What is 16/18 as a decimal?

$16/18 as a decimal$

Answer

16/18 in decimals can be written as 0.8888….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 16/18 in decimal, we will use the division method. Here, as 16 is smaller than 18, we will take the help of the decimal method, which will give us 0.8888. 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 (18) will be taken as the divisor.

Step 2: As 16 is smaller than 18, it can't be divided. Here 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 18. Let's see how many times 18 makes 160.

Step 4: 160 is not a multiple of 18, so we will look for the nearest number that is 18 × 8 = 144. We will write 8 in the quotient place and subtract 144 from 160, which gives 16.

Step 5: Bring down another 0 in the dividend place and make 16 as 160 and then repeat the division process. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 16/18 as a decimal will be 0.8888……

Important Glossaries for 16/18 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.
Recurring Decimal: A decimal in which a digit or group of digits repeats infinitely.