7 3/11 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 a whole. It has two parts, the numerator (number on the top), here, 3 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 a decimal 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 7 3/11 as a decimal?

$7 3/11 as a decimal$

Answer

7 3/11 in decimals can be written as 7.272727... It is a recurring decimal, showing it will repeat the same sequence of digits infinitely.

Explanation

To convert 7 3/11 into a decimal, we will use the division method for the fractional part and then add it to the whole number. Let's see the step-by-step breakdown of the process:

Step 1: Identify the whole number and the fractional part. Here, 7 is the whole number, and 3/11 is the fraction.

Step 2: Convert the fraction 3/11 to a decimal. Divide 3 by 11.

Step 3: As 3 is smaller than 11, we will take the help of decimals. We will add 0 to the dividend, which makes 3 as 30 and add a decimal point in the quotient place.

Step 4: 30 divided by 11 goes 2 times (11 × 2 = 22). Subtract 22 from 30 gives 8.

Step 5: Bring down another 0, making it 80. 11 goes into 80 seven times (11 × 7 = 77). Subtract 77 from 80 gives 3.

Step 6: Repeat the process, bringing down 0s and performing the division. The division process continues, and we don't get a remainder as 0. This process is called a recurring decimal.

The answer for 7 3/11 as a decimal is 7.272727...