Table Of Contents
102 LearnersLast updated on March 18th, 2025
6 10/11 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 11. 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 6 10/11 as a decimal?
Answer
6 10/11 in decimals can be written as approximately 6.90909090… It is a recurring decimal, showing it will repeat the digits '90' infinitely.
Explanation
To get 6 10/11 in decimal, we will use the division method for the fractional part. Let's see the step-by-step breakdown of the process:
Step 1: Separate the whole number and the fraction. Here, the whole number is 6 and the fraction is 10/11.
Step 2: Identify the numerator and denominator because the numerator (10) will be taken as the dividend and the denominator (11) will be taken as the divisor.
Step 3: Perform the division 10 ÷ 11. Since 10 is smaller than 11, we add a decimal point and a zero to the dividend, making it 100.
Step 4: Divide 100 by 11. The result is 9, with a remainder of 1.
Step 5: Bring down another 0 to make it 10 again, and repeat the division process.
Step 6: The division process continues, with the remainder cycling through 1, producing the recurring decimal 0.9090.
The answer for 6 10/11 as a decimal will be approximately 6.90909090.
Important Glossaries for 6 10/11 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.
Explore More math-questions
Previous to 6 10/11 as a Decimal
