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105 LearnersLast updated on March 13th, 2025
16/12 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 16, which represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 12. 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 that to the right represents the fractional part.
What is 16/12 as a decimal?
Answer
16/12 in decimals can be written as 1.33333…. It is a recurring decimal, showing it will repeat the same digit infinitely.
Explanation
To get 16/12 in decimal, we will use the division method. Here, as 16 is larger than 12, we can directly divide. 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 (12) will be taken as the divisor.
Step 2: Divide 16 by 12. 12 goes into 16 once, which gives us 1. Subtract 12 from 16, leaving us with a remainder of 4.
Step 3: To continue the division, add a decimal point and a zero to the remainder, making it 40.
Step 4: 12 goes into 40 three times, which gives us 36. Subtract 36 from 40, leaving us with a remainder of 4.
Step 5: Repeat the process by adding another zero, making it 40 again, and continue 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 16/12 as a decimal will be 1.3333……
Important Glossaries for 16/12 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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