13/9 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: the numerator (number on the top) here, 13 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 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 13/9 as a decimal?

$13/9 as a decimal$

Answer

13/9 in decimals can be written as 1.44444….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 13/9 in decimal, we will use the division method. Here, as 13 is larger than 9, we can directly divide 13 by 9, which will give us 1.4444. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (13) will be taken as the dividend and the denominator (9) will be taken as the divisor.

Step 2: Divide 13 by 9. This gives 1 as the whole number part, with a remainder of 4.

Step 3: Add a decimal point to the quotient and bring down a 0 to make the remainder 4 as 40.

Step 4: Divide 40 by 9, which gives 4, and the remainder is 4.

Step 5: Repeat the process by bringing down another 0, making it 40 again, and divide by 9, which again gives 4. The division process continues, and we don't get the remainder as 0; this process results in a recurring decimal.

The answer for 13/9 as a decimal is 1.4444……

Important Glossaries for 13/9 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 sequence of digits repeats infinitely.