8/13 as a decimal

Professor Greenline Explaining Math Concepts

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Intermediate

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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, 8 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 the 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 8/13 as a decimal?

$8/13 as a decimal$

Answer

8/13 in decimals can be written as approximately 0.615384615384... It is a repeating decimal, showing it will repeat the digits infinitely.

Explanation

To get 8/13 in decimal, we will use the division method. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (8) will be taken as the dividend and the denominator (13) will be taken as the divisor.

Step 2: As 8 is smaller than 13, it can't be divided into a whole number, so we will utilize decimals. Add 0 to the dividend, making it 80, and place a decimal point in the quotient.

Step 3: Divide 80 by 13. 13 goes into 80 six times (13 × 6 = 78). Write 6 in the quotient and subtract 78 from 80 to get 2.

Step 4: Bring down another 0, making it 20. Divide by 13, resulting in 1, as 13 goes into 20 once. Subtract to get 7.

Step 5: Continue bringing down zeros and dividing, following the cycle, which results in the repeating decimal: 0.615384615384... The division process continues, and we observe that the remainder repeats, indicating a repeating decimal.

The answer for 8/13 as a decimal will be approximately 0.615384615384...