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108 LearnersLast updated on March 3rd, 2025
19/6 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, 19 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 6. A decimal is a way to represent the 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 that to the right represents the fractional part.
What is 19/6 as a decimal?
Answer
19/6 in decimals can be written as 3.16666….. It is a recurring decimal, showing it will repeat the same digit infinitely.
Explanation
To get 19/6 in decimal, we will use the division method. Here as 19 is larger than 6, we can divide directly but will need to use decimals for the remainder. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (19) will be taken as the dividend and the denominator (6) will be taken as the divisor.
Step 2: Divide 19 by 6. The quotient of 19 divided by 6 is 3, and the remainder is 1.
Step 3: After getting the whole number part (3), add a decimal point in the quotient and bring down a 0 to the remainder, making it 10.
Step 4: Now divide 10 by 6. The quotient is 1, and the remainder is 4.
Step 5: Bring down another 0, making it 40. Divide 40 by 6. The quotient is 6, and the remainder is 4.
Step 6: Repeat the process. The remainder will keep bringing down 0s, and the quotient will keep repeating 6. This process is called a recurring decimal.
The answer for 19/6 as a decimal will be 3.1666……
Important Glossaries for 19/6 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 a sequence of digits infinitely.
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