10/13 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, 10, represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 13. 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 10/13 as a decimal?

$10/13 as a decimal$

Answer

10/13 in decimals can be written as approximately 0.7692307692307692. It is a non-terminating decimal, which means it does not end and repeats in a pattern.

Explanation

To get 10/13 in decimal, we will use the division method. Here as 10 is smaller than 13, we will take help of the decimal method that will give us 0.7692307692307692. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (10) will be taken as the dividend and the denominator (13) will be taken as the divisor.

Step 2: As 10 is smaller than 13, it can't be divided directly, so we will add a decimal point in the quotient and a zero to the dividend, making it 100.

Step 3: Now that it is 100, we can divide it by 13. Let's see how many times 13 fits into 100.

Step 4: 13 x 7 = 91, so we will write 7 in the quotient place. Subtracting 91 from 100 gives 9.

Step 5: Bring down another 0 to make it 90 and repeat the division process. The division process continues, and we observe a repeating pattern in the decimals. This process is called a repeating decimal.

The answer for 10/13 as a decimal will be approximately 0.7692307692307692.