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109 LearnersLast updated on March 16th, 2025
16/21 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, 16 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 21. 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 those to the right represent the fractional part.
What is 16/21 as a decimal?
Answer
16/21 in decimals can be written as approximately 0.761904. It is a repeating decimal, showing a repeating sequence of digits.
Explanation
To get 16/21 in decimal, we will use the division method. Here, as 16 is smaller than 21, we will start the division to convert it into a decimal. 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 (21) will be taken as the divisor.
Step 2: Since 16 is smaller than 21, we will place a decimal point in the quotient and add a zero to 16, making it 160.
Step 3: Divide 160 by 21. The closest multiple is 21 × 7 = 147. We will write 7 in the quotient place and subtract 147 from 160, which gives 13.
Step 4: Bring down another 0, making it 130, and divide by 21 again. The closest multiple is 21 × 6 = 126. Write 6 in the quotient and subtract 126 from 130, giving 4.
Step 5: Continue this process, bringing down zero, dividing, and subtracting. The sequence repeats, showing a recurring decimal.
The answer for 16/21 as a decimal is approximately 0.761904.
Important Glossaries for 16/21 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.
- Repeating Decimal: A decimal in which a sequence of digits repeats infinitely.
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