4 7/16 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 of a whole. It has two parts: the numerator (the number on the top) here, 7 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 whole, using a (.) or a decimal to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 4 7/16 as a decimal?

$4 7/16 as a decimal$ Answer

4 7/16 in decimals can be written as 4.4375. It is a terminating decimal, indicating it ends and does not repeat.

Explanation

To get 4 7/16 in decimal, we will convert the fractional part to a decimal and then add it to the whole number. Let's see the step-by-step breakdown of the process:

Step 1: Identify the whole number and the fraction. Here, the whole number is 4, and the fraction is 7/16.

Step 2: Convert 7/16 to a decimal by dividing 7 by 16.

Step 3: Perform the division. 7 divided by 16 gives 0.4375.

Step 4: Add the decimal value of the fraction (0.4375) to the whole number (4). The calculation is 4 + 0.4375 = 4.4375.

The answer for 4 7/16 as a decimal is 4.4375.

Important Glossaries for 4 7/16 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.
Mixed Number: A number consisting of an integer and a fraction.
Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
Terminating Decimal: A decimal that ends and does not repeat infinitely.