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100 LearnersLast updated on March 27th, 2025
7 6/11 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: the numerator (number on the top) and the denominator (number below). The numerator, here 6, represents how many parts out of the whole are considered. The denominator, here 11, shows how many parts make the whole. A decimal is a way to represent a number that is not whole, using a decimal point (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
What is 7 6/11 as a decimal?
Answer
7 6/11 in decimals can be written as approximately 7.54545454..... It is a recurring decimal, showing that the digits after the decimal point repeat indefinitely.
Explanation
To convert 7 6/11 to a decimal, we will use the division method for the fractional part. The whole number 7 remains unchanged. Let's see the step-by-step breakdown of the process:
Step 1: Identify the fractional part, which is 6/11.
Step 2: Divide the numerator (6) by the denominator (11) using long division.
Step 3: As 6 is smaller than 11, we will take the help of decimals. We will add 0 to the dividend, making 6 into 60 and add a decimal point in the quotient place.
Step 4: Now that it is 60, we divide it by 11. 11 goes into 60 five times because 11 × 5 = 55.
Step 5: Subtract 55 from 60, leaving a remainder of 5. Bring down another 0 to make it 50.
Step 6: 11 goes into 50 four times because 11 × 4 = 44. Subtract 44 from 50, leaving a remainder of 6.
Step 7: Bring down another 0 to make it 60 and repeat the division process. This process continues, and we see the digits 54 repeat indefinitely.
The decimal representation of 7 6/11 is approximately 7.54545454.....
Important Glossaries for 7 6/11 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 the same digit or sequence of digits indefinitely.
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