3 5/8 as a Decimal

Professor Greenline Explaining Math Concepts

It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (number on the top), here 3 5/8 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 8 in the fractional part. 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.

3 5/8 as a Decimal for US Students

What is 3 5/8 as a decimal?

$3 5/8 as a decimal$

Answer

3 5/8 in decimals can be written as 3.625. It is a terminating decimal.

Explanation

To convert 3 5/8 into a decimal, we will use a division method for the fractional part. The whole number part is 3, and for the fractional part 5/8, let's see the step-by-step breakdown of the process:

Step 1: Identify the whole number and the fraction. The fraction is 5/8, where 5 is the numerator and 8 is the denominator.

Step 2: Divide the numerator by the denominator. Here, 5 divided by 8 gives 0.625.

Step 3: Add this decimal to the whole number part. So, 3 plus 0.625 equals 3.625.

Thus, the answer for 3 5/8 as a decimal is 3.625.

Important Glossaries for 3 5/8 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.
Mixed Number: A number consisting of an integer and a proper fraction.
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.

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