{"id":36,"date":"2022-07-23T09:25:34","date_gmt":"2022-07-23T09:25:34","guid":{"rendered":"https:\/\/www.kelbek.com\/?p=36"},"modified":"2022-07-23T09:25:36","modified_gmt":"2022-07-23T09:25:36","slug":"fraction-to-decimal-conversion-in-mathematics","status":"publish","type":"post","link":"https:\/\/www.kelbek.com\/fraction-to-decimal-conversion-in-mathematics\/","title":{"rendered":"Fraction to Decimal Conversion in Mathematics"},"content":{"rendered":"\n

The term fraction can also be referred to as a part or a piece of a bigger number. The ‘\/’ sign, as in a\/b, is used to symbolise it.  For example, 5\/7 is a fraction wherein the top part is known as the numerator and the lower part of the fraction is known as the denominator.<\/p>\n\n\n\n

Consider this, if you take half a portion of any pizza and split it into 2 equal pieces, each piece will represent a quarter of the entire pizza.<\/p>\n\n\n\n

1\/2\u00f72 which is equal to \u00bc<\/p>\n\n\n\n

This is known as Dividing Fractions. The division is the process of dividing a thing into \u2018n\u2019 equal pieces, where \u2018n\u2019 can be any number. Division can be performed using whole numbers, integers, fractions, or decimals. In this article, we are going to know how to convert fraction to decimal<\/a>.<\/p>\n\n\n\n

Let\u2019s learn it with an example:<\/p>\n\n\n\n

Convert the fraction \u2155 into a decimal?<\/p>\n\n\n\n

Step 1: Put a 0 after 1 in the numerator.<\/p>\n\n\n\n

Step 2: It would look like this – 10\/5, but this will automatically add a decimal to the solution.<\/p>\n\n\n\n

Step 3: 10\/5 = 0.2<\/p>\n\n\n\n

Step 4: \u2155 gets converted to 0.2 <\/p>\n\n\n\n

Dividing Fractions<\/h2>\n\n\n\n

Converting decimals to fractions is a frequent mathematical process. Furthermore, in order to do so, students should first understand the foundations of division. It will be very easy to convert decimals to fractions as well as fractions to decimals, Let’s look at how to convert any decimal to a fraction.<\/p>\n\n\n\n

Example1<\/strong>: 0.6 is a given decimal number. Convert the specified decimal to a fraction.<\/p>\n\n\n\n

Solution:<\/strong> The First stage is to evaluate the place value of the numbers following the decimal place in each given question.<\/p>\n\n\n\n

The number 0.6 is alternatively written as 0.60, which indicates, the decimal point (.) is in the tenth position.<\/p>\n\n\n\n

6\/10 = 3\/5 which will be the fractional form of the decimal number 0.6<\/p>\n\n\n\n

Example 2:<\/strong> 0.22 is a given decimal. Convert 0.22 into a fraction.<\/p>\n\n\n\n

Solution:<\/strong> The First stage is to evaluate the place value of the numbers following the decimal place in each given question.<\/p>\n\n\n\n

The decimal number 0.22 can also be written as 0.220 which indicates that the decimal point (.) is in the 100th position.<\/p>\n\n\n\n

So in terms of fractions, we can represent the decimal 0.220 as 22\/100. On reducing to simpler terms we get 11\/50, we cannot reduce it to simpler terms.<\/p>\n\n\n\n

Steps for Dividing Fractions<\/h2>\n\n\n\n