13 1/8 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 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 8. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point 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 1/8 as a decimal?

$13 1/8 as a decimal$

Answer

13 1/8 in decimals can be written as 13.125. It is a terminating decimal, which means it does not repeat infinitely.

Explanation

To convert 13 1/8 to a decimal, we will divide the fraction part. Here, 1/8 needs to be converted to a decimal. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator of the fraction. Here, the numerator (1) will be taken as the dividend and the denominator (8) will be taken as the divisor.

Step 2: Divide 1 by 8. Since 1 is smaller than 8, we use the decimal method. We add 0 to the dividend, making it 10, and add a decimal point in the quotient.

Step 3: Now, divide 10 by 8. The result is 1 with a remainder of 2.

Step 4: Bring down another 0 to the remainder, making it 20. Divide 20 by 8, which equals 2 with a remainder of 4.

Step 5: Bring down another 0 to the remainder, making it 40. Divide 40 by 8, which equals 5 with no remainder. The division process ends here, resulting in the decimal 0.125. Now add the whole number 13 to get 13.125.

The answer for 13 1/8 as a decimal will be 13.125.