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114 LearnersLast updated on March 3rd, 2025
10/3 as a Decimal
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts, numerator (number on the top) here, 10 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 10/3 as a decimal?
Answer
10/3 in decimals can be written as 3.33333….. It is a recurring decimal, showing it will repeat the same digit infinitely.
Explanation
To get 10/3 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 (10) will be taken as the dividend and the denominator (3) will be taken as the divisor.
Step 2: Divide 10 by 3. Let's see how many times 3 fits into 10.
Step 3: 3 × 3 = 9, which is the nearest multiple of 3 less than 10.
Step 4: Write 3 in the quotient place and subtract 9 from 10, which gives 1.
Step 5: Bring down a 0 to make it 10, 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 10/3 as a decimal will be 3.3333……
Important Glossaries for 10/3 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 in which a digit or group of digits repeats infinitely.
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