8 11/16 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 from the whole. It has two parts, numerator (number on the top) here, 11 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 16. A decimal is a way to represent the 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 that to the right represents the fractional part.

What is 8 11/16 as a decimal?

$8 11/16 as a decimal$

Answer

8 11/16 in decimals can be written as 8.6875. It is a terminating decimal, meaning it ends and does not repeat infinitely.

Explanation

To get 8 11/16 in decimal, we will use division and addition methods. Here, 11 is smaller than 16, and we will convert 11/16 to a decimal first and then add it to 8. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator. The numerator (11) will be the dividend, and the denominator (16) will be the divisor.

Step 2: Divide 11 by 16 to convert the fraction into a decimal.

Step 3: Perform the division 11 ÷ 16 = 0.6875.

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

Step 5: The result is 8 + 0.6875 = 8.6875.

The answer for 8 11/16 as a decimal will be 8.6875.

Important Glossaries for 8 11/16 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.