3 6/8 as a Decimal

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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 6, 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 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 3 6/8 as a decimal?

$3 6/8 as a decimal$

Answer

3 6/8 in decimals can be written as 3.75. It is a terminating decimal, meaning it ends and does not repeat infinitely.

Explanation

To convert 3 6/8 into a decimal, we will first convert the fractional part into a decimal. Let's see the step-by-step breakdown of the process:

Step 1: Identify the whole number and the fraction. Here, 3 is the whole number, and 6/8 is the fraction.

Step 2: Simplify the fraction 6/8 by dividing both the numerator and the denominator by their greatest common divisor, which is 2. This gives us 3/4.

Step 3: Convert the simplified fraction 3/4 into a decimal by dividing the numerator by the denominator: 3 ÷ 4 = 0.75.

Step 4: Combine the whole number with the decimal part. Add 3 (the whole number) to 0.75 (the decimal equivalent of the fraction) to get 3.75.

Important Glossaries for 3 6/8 as a decimal

Fraction: A numerical quantity representing a part of a whole, consisting of a numerator and a denominator.
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.