3 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 the top) and the denominator (number below). A mixed number, like 3 1/8, has a whole number and a fractional part. 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 3 1/8 as a decimal?

$3 1/8 as a decimal$ Answer

3 1/8 in decimals can be written as 3.125. It is a terminating decimal.

Explanation

To convert 3 1/8 to a decimal, we convert the fractional part first and then add it to the whole number. Let's break down the process:

Step 1: Identify the fractional part 1/8.

Step 2: Divide the numerator (1) by the denominator (8) using long division.

Step 3: 1 divided by 8 gives 0.125.

Step 4: The whole number part is 3.

Step 5: Combine the whole number 3 and the decimal 0.125 to get 3.125.

The answer for 3 1/8 as a decimal is 3.125.

Important Glossaries for 3 1/8 as a decimal

Mixed Number: A number consisting of an integer and a proper fraction.
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.
Terminating Decimal: A decimal that ends and does not repeat infinitely.