6 3/4 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 from the whole. It has two parts: the numerator (number on the top), here 6 3/4 means 6 whole parts and 3 parts out of 4 of the next whole. The denominator (number below) shows how many parts make the whole, here it is 4. 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.

What is 6 3/4 as a decimal?

$6 3/4 as a decimal$

Answer

6 3/4 in decimals can be written as 6.75. It is a terminating decimal.

Explanation

To get 6 3/4 in decimal, we will convert the fraction part 3/4 into decimal form and add it to the whole number 6.

Let's see the step-by-step breakdown of the process:

Step 1: Identify the whole number and the fraction part. Here the whole number is 6, and the fraction part is 3/4.

Step 2: Convert the fraction 3/4 into decimal form. Divide 3 by 4.

Step 3: Perform the division: 3 divided by 4 equals 0.75.

Step 4: Add the decimal form of the fraction to the whole number: 6 + 0.75 = 6.75.

The answer for 6 3/4 as a decimal is 6.75.

Important Glossaries for 6 3/4 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.
Whole Number: A number without fractions; an integer.
Terminating Decimal: A decimal that ends and does not repeat infinitely.
Mixed Number: A number consisting of an integer and a proper fraction.