3 5/11 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

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), which represents how many parts out of the whole are being considered, 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 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 3 5/11 as a decimal?

$3 5/11 as a decimal$

Answer

3 5/11 in decimals can be written as 3.4545….. It is a recurring decimal, showing it will repeat the sequence of digits infinitely.

Explanation

To convert 3 5/11 into a decimal, we first convert the mixed fraction into an improper fraction and then use the division method. Here’s a step-by-step breakdown of the process:

Step 1: Convert the mixed number to an improper fraction. Multiply the whole number by the denominator and add the numerator (3 × 11 + 5 = 38), giving us the fraction 38/11.

Step 2: Divide the numerator (38) by the denominator (11).

Step 3: 38 divided by 11 gives us 3 with a remainder of 5.

Step 4: Add a decimal point to the quotient and bring down a 0, making it 50.

Step 5: 50 divided by 11 gives us 4 with a remainder of 6.

Step 6: Bring down another 0, making it 60. Continue this process to get the repeating decimal. This process continues, and the remainder never becomes 0, indicating that it is a recurring decimal.

The answer for 3 5/11 as a decimal is 3.4545……