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101 LearnersLast updated on March 18th, 2025
12/90 as a Decimal
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 12, which represents how many parts out of the whole, and the denominator (number below), here 90, 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 12/90 as a decimal?
Answer
12/90 in decimals can be written as 0.1333... It is a recurring decimal, indicating that it will repeat the same digit infinitely.
Explanation
To convert 12/90 into a decimal, we will use division. Since 12 is smaller than 90, we will use the decimal method, which will give us 0.1333. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (12) will be taken as the dividend, and the denominator (90) will be taken as the divisor.
Step 2: As 12 is smaller than 90, it can't be divided, so we will use decimals. We will add 0 to the dividend, making 12 into 120 and adding a decimal point in the quotient place.
Step 3: Now that it is 120, we can divide it by 90. Let's see how many times 90 fits into 120.
Step 4: 120 is not a multiple of 90, so we will look for the nearest number that is 90 × 1 = 90. We will write 1 in the quotient place and subtract 90 from 120, giving 30.
Step 5: Bring down another 0 in the dividend place, making 30 into 300, and then repeat the division process. The division process continues, and we do not get a remainder of 0. This process results in a recurring decimal.
The answer for 12/90 as a decimal will be 0.1333...
Important Glossaries for 12/90 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 that repeats the same digit or group of digits infinitely.
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