8 3/4 as a Decimal

Professor Greenline Explaining Math Concepts

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Intermediate

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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 a whole. It has two parts: the numerator (number on the top) represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole. 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 8 3/4 as a decimal?

$8 3/4 as a decimal$

Answer

8 3/4 in decimals can be written as 8.75. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To convert 8 3/4 into a decimal, we will first convert the fraction 3/4 into a decimal and then add it to the whole number 8. Here's how we do it:

Step 1: Identify the whole number and the fraction. The whole number is 8, and the fraction is 3/4.

Step 2: Convert the fraction 3/4 into a decimal by dividing the numerator by the denominator.

Step 3: Divide 3 by 4, which equals 0.75.

Step 4: Add the decimal 0.75 to the whole number 8.

Step 5: The result is 8 + 0.75 = 8.75.

The answer for 8 3/4 as a decimal is 8.75.

Important Glossaries for 8 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.
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.