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104 LearnersLast updated on March 28th, 2025
16/3 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: 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 3. 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 16/3 as a decimal?
Answer
16/3 in decimals can be written as 5.33333….. It is a recurring decimal, showing it will repeat the same digit infinitely.
Explanation
To get 16/3 in decimal, we will use the division method. 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 (3) will be taken as the divisor.
Step 2: Divide 16 by 3.
Step 3: 3 goes into 16 five times (3 × 5 = 15). Write 5 in the quotient place and subtract 15 from 16 to get 1.
Step 4: Bring down a 0, making it 10, and divide by 3.
Step 5: 3 goes into 10 three times (3 × 3 = 9). Write 3 in the quotient place and subtract 9 from 10 to get 1.
Step 6: Bring down another 0, making it 10, and repeat the division process. The division process continues, and we don't get a remainder of 0, which means it is a recurring decimal.
The answer for 16/3 as a decimal will be 5.3333……
Important Glossaries for 16/3 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 has one or more repeating numbers or sequences of numbers after the decimal point.
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Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
Fun Fact
: She loves to read number jokes and games.
