35/11 as a Decimal

Professor Greenline Explaining Math Concepts

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Intermediate

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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: the numerator (number on the top), here 35, which represents how many parts out of the whole, and the denominator (number below), here 11, which shows how many parts make the whole. A decimal is a way to represent a number that is not whole, using a (.) or a decimal 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 35/11 as a decimal?

$35/11 as a decimal$

Answer

35/11 in decimals can be written as 3.181818... It is a recurring decimal, showing it will repeat the same digit sequence infinitely.

Explanation

To get 35/11 in decimal, we will use the division method. Here, as 35 is larger than 11, we can directly perform the division. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (35) will be taken as the dividend, and the denominator (11) will be taken as the divisor.

Step 2: Divide 35 by 11. 11 goes into 35 three times, which gives us 33. We write 3 in the quotient place and subtract 33 from 35, giving us 2.

Step 3: Bring down a 0 to make it 20, and 11 goes into 20 once, which gives us 11. We write 1 in the quotient place and subtract 11 from 20, giving us 9.

Step 4: Bring down another 0 to make it 90, and 11 goes into 90 eight times, which gives us 88. We write 8 in the quotient place and subtract 88 from 90, giving us 2.

Step 5: Repeat the process, as this division will continue indefinitely, resulting in a recurring decimal.

The answer for 35/11 as a decimal will be 3.181818...

Important Glossaries for 35/11 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 in which a sequence of digits repeats infinitely.