17/150 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 of the whole. It has two parts: the numerator (number on the top), here 17, which represents how many parts out of the whole, and the denominator (number below), here 150, which shows how many parts make the whole. 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 fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 17/150 as a decimal?

$17/150 as a decimal$

Answer

17/150 in decimals can be written as 0.1133… It is a recurring decimal, showing it will eventually repeat the same digit infinitely.

Explanation

To get 17/150 in decimal, we will use the division method. Since 17 is smaller than 150, we will use the decimal method, which will give us 0.1133. 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 (150) will be taken as the divisor.

Step 2: As 17 is smaller than 150, it can't be divided directly, so we will take the help of decimals. We will add 0 to the dividend, making it 170, and add a decimal point in the quotient place.

Step 3: Now that it is 170, we can divide it by 150. Let's see how many times 150 fits into 170.

Step 4: 170 divided by 150 gives 1, with a remainder. We will write 1 in the quotient place and subtract 150 from 170, which gives 20.

Step 5: Bring down another 0 in the dividend place and make it 200, then continue the division process. The division process continues, and we find that the decimal eventually repeats. This process results in a recurring decimal.

The answer for 17/150 as a decimal will be 0.1133…

Important Glossaries for 17/150 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 one or more digits repeat infinitely.