11 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 understand fractions and decimals. A fraction represents a part of a whole. It consists of two parts: the numerator (the number on the top), which represents how many parts of the whole are considered, and the denominator (the number below), which shows how many parts make up the whole. A decimal is a way to represent a number that is not whole, using a decimal point (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole part, and those to the right represent the fractional part.

What is 11 11/16 as a decimal?

Answer

11 11/16 as a decimal can be written as 11.6875. It is a terminating decimal, meaning it has a finite number of digits after the decimal point.

Explanation

To convert 11 11/16 to a decimal, we will first convert the fractional part to a decimal and then add it to the whole number.

Step 1: Identify the mixed number. Here, 11 is the whole number, and 11/16 is the fractional part.

Step 2: Convert 11/16 to a decimal by dividing the numerator (11) by the denominator (16).

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

Step 4: Add the decimal value of the fraction to the whole number: 11 + 0.6875 = 11.6875.

The answer for 11 11/16 as a decimal is 11.6875.

Important Glossaries for 11 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.
Mixed Number: A number consisting of an integer and a proper fraction.