6 1/9 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: numerator (number on the top), here 1, represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 9. 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 6 1/9 as a decimal?

$6 1/9 as a decimal$

Answer

6 1/9 in decimals can be written as 6.1111….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 6 1/9 in decimal, we will convert the fractional part first. Here, as 1 is smaller than 9, we will use the division method to convert 1/9 to decimal which will give us 0.1111. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (1) will be taken as the dividend and the denominator (9) will be taken as the divisor.

Step 2: As 1 is smaller than 9, it can't be divided. Here, we will take the help of decimals. We will add 0 to the dividend, which will make 1 as 10, and add a decimal point in the quotient place.

Step 3: Now that it is 10, we can divide it by 9. Let's see how many times 9 makes 10.

Step 4: 10 is not a multiple of 9, so we will look for the nearest number, which is 9 × 1 = 9. We will write 1 in the quotient place and subtract 9 from 10, which gives 1.

Step 5: Bring down another 0 in the dividend place to make 1 as 10 and then repeat the division process. The division process continues and does not end with a remainder of 0; this process is called a recurring decimal.

Finally, add this decimal to the whole number 6, making the answer for 6 1/9 as a decimal 6.1111....

Important Glossaries for 6 1/9 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 digit or group of digits repeats infinitely.