3 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: the numerator (the number on the top), here 11, represents how many parts out of the whole. The denominator (the number below) shows how many parts make the whole, here it is 16. A decimal is a way to represent a number that is not a 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 3 11/16 as a decimal?

$3 11/16 as a decimal$

Answer

3 11/16 in decimal form can be written as 3.6875. It is a terminating decimal, showing it ends after a finite number of digits.

Explanation

To convert 3 11/16 into a decimal, we follow these steps:

Step 1: First, convert the fraction 11/16 into a decimal.

Step 2: Divide the numerator by the denominator: 11 ÷ 16 = 0.6875.

Step 3: The whole number part of the mixed number is 3.

Step 4: Combine the whole number with the decimal fraction: 3 + 0.6875 = 3.6875.

The decimal representation of 3 11/16 is 3.6875.

Important Glossaries for 3 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.