4 4/11 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 4 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 a number that is not whole, using a (.) or 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 4 4/11 as a decimal?

$4 4/11 as a decimal$

Answer:

4 4/11 in decimals can be written as 4.363636... It is a recurring decimal, showing it will repeat the same sequence of digits infinitely.

Explanation:

To convert 4 4/11 to a decimal, we will use the division method for the fractional part. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (4) will be taken as the dividend and the denominator (11) as the divisor.

Step 2: Divide 4 by 11. Since 4 is smaller than 11, we will take the help of decimals. We will add a decimal point in the quotient and append 0 to the dividend, making it 40.

Step 3: Now divide 40 by 11. 11 goes into 40 three times (11 × 3 = 33). Write 3 in the quotient and subtract 33 from 40, giving 7.

Step 4: Bring down another 0, making it 70. Divide by 11 to get 6 (11 × 6 = 66). Write 6 in the quotient and subtract 66 from 70, giving 4.

Step 5: Repeat the division process. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

Thus, 4 4/11 as a decimal will be 4.363636...