When we express a fraction as a decimal, we are converting it into a decimal representation. In the case of 5/16, we want to find the decimal equivalent of this fraction.
The answer to 5/16 as a decimal is 0.3125.
There are multiple methods to solve 5/16 as a decimal. Let's explore two common methods:
The steps to solve 5/16 as a decimal using long division are as follows:
0.3125
------------
16| 5.0000
-48
----
20
-16
----
40
-32
----
80
-80
----
0
Hence, 5/16 as a decimal is 0.3125.
To solve 5/16 as a decimal using this method, we divide 5 by 16 and then multiply the result by 1000.
5 ÷ 16 = 0.3125
0.3125 × 1000 = 312.5
Therefore, 5/16 as a decimal is 0.3125.
Example 1: Convert 5/16 to a decimal using long division.
0.3125
------------
16| 5.0000
-48
----
20
-16
----
40
-32
----
80
-80
----
0
Hence, 5/16 as a decimal is 0.3125.
Example 2: Convert 5/16 to a decimal using the method of denominator becoming 1000.
5 ÷ 16 = 0.3125
0.3125 × 1000 = 312.5
Therefore, 5/16 as a decimal is 0.3125.
Example 3: Convert 5/16 to a decimal using fraction to decimal conversion.
5 ÷ 16 = 0.3125
Hence, 5/16 as a decimal is 0.3125.
In mathematics, fractions represent a part of a whole or a division of quantities. They are used to express numbers that are not whole numbers or integers. Fractions consist of a numerator (the number above the fraction line) and a denominator (the number below the fraction line).
The symbols used to represent fractions are the fraction bar ("/") and the division slash ("÷"). For example, 5/16 or 5 ÷ 16 both represent the fraction 5 over 16.
There are several types of fractions in mathematics, including:
A fraction consists of two components:
For example, in the fraction 5/16, 5 is the numerator and 16 is the denominator.
A decimal is a way of representing numbers that are not whole numbers or integers. It is based on the powers of 10 and uses a decimal point to separate the whole number part from the fractional part. Decimals can be finite (having a limited number of digits) or infinite (having an endless number of digits).
The symbol used to represent a decimal is a decimal point (".").
A decimal consists of two components:
For example, in the decimal 0.3125, 0 is the whole number part and 3125 is the fractional part.
There are several types of decimals:
As mentioned earlier, 5/16 as a decimal is 0.3125.