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103 LearnersLast updated on March 12th, 2025
1 4/11 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), which represents how many parts out of the whole, and the denominator (number below), which 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 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 1 4/11 as a decimal?
Answer:
1 4/11 in decimals can be written as 1.363636..... It is a recurring decimal, showing it will repeat the same sequence of digits infinitely.
Explanation:
To get 1 4/11 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, 1 is the whole number, and 4/11 is the fraction.
Step 2: Convert the fraction 4/11 into a decimal. Identify the numerator (4) and denominator (11). The numerator will be taken as the dividend, and the denominator as the divisor.
Step 3: Since 4 is smaller than 11, we add a decimal point and a zero to the dividend to make it 40.
Step 4: Now divide 40 by 11, which goes 3 times (3 × 11 = 33). Subtract 33 from 40 to get 7.
Step 5: Bring down another 0 to make it 70. Divide 70 by 11, which goes 6 times (6 × 11 = 66). Subtract 66 from 70 to get 4.
Step 6: Repeat the process. The division will continue to produce 36 repeatedly, resulting in a recurring decimal.
The answer for 1 4/11 as a decimal is 1.363636......
Important Glossaries for 1 4/11 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 number in which a digit or group of digits repeat infinitely.
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