{"id":4929,"date":"2020-08-22T11:08:29","date_gmt":"2020-08-22T11:08:29","guid":{"rendered":"https:\/\/www.homeworkjoy.com\/infographics\/?p=4929"},"modified":"2022-09-28T03:10:47","modified_gmt":"2022-09-28T10:10:47","slug":"how-to-convert-decimal-into-fraction-and-vice-versa","status":"publish","type":"post","link":"https:\/\/www.homeworkjoy.com\/infographics\/how-to-convert-decimal-into-fraction-and-vice-versa\/","title":{"rendered":"How to Convert Decimal Into Fraction and Vice-Versa"},"content":{"rendered":"

To know how to convert decimal into a fraction, there are two main things to understand well. The first is that all decimal numbers can be expressed as a fraction, and second is it\u2019s vice-versa. So, if you know the main steps of the conversion well, you can get the final result easily. Before getting any further, first, let\u2019s understand the two.<\/span><\/p>\n

What is a Decimal and Fraction Number?<\/span><\/h2>\n

A decimal number represents a non-whole number where several digits of a value smaller than one follow a decimal point. On the other hand, a fraction number represents a part of a whole number. It is a ratio between the upper number and the lower number. Both are the types of numbers use to represent a non-whole number.\u00a0<\/span><\/p>\n

If you have a decimal unit and you want to convert it into a fractional unit or vice-versa, you can use this step-by-step guide:<\/span><\/p>\n

Conversion of Decimal to Fraction\u00a0<\/span><\/h2>\n

Step #1 Divide the Decimal Form by 1\u00a0<\/span><\/h3>\n

x = decimal value \/ 1<\/span><\/p>\n

Step 2# Multiply the Top and Bottom Values by 10\u00a0<\/span><\/h3>\n

In this process, ten is for each number after the decimal point.<\/span><\/p>\n

Step 3# Simplify the Ratio by Using a Common Multiple<\/span><\/h3>\n

Eg: \u00a0 1).\u00a0 x = 0.75\/1<\/span><\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a02). x = 0.75*100\/1*100 = 75\/100<\/span><\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a03). x= 0.75\/5 * 100\/5 = 3\/4<\/span><\/p>\n

Conversion of Fraction to Decimal\u00a0<\/span><\/h2>\n

Step 1#: Find a Number to Multiply the bottom of the Fraction<\/span><\/h3>\n

This number\u2019s purpose is to make it 10 or 100 or 1000 or other such forms.\u00a0<\/span><\/p>\n

Step 2# Use that Number to Multiply Both Top and Bottom<\/span><\/h3>\n

Step 3# Put the Decimal Point in the Correct Spot and Write Down the Top Number<\/span><\/h3>\n

Basic rule: Decimal should be one space from the right-hand side for every zero in the bottom number.<\/span><\/p>\n

Eg: 1). x= 3\/4<\/span><\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a02).x = 3*25\/4*25 = 75\/100<\/span><\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a03). x= 0.75<\/span><\/p>\n

If you need more help related to similar topics, take instant math homework help<\/a><\/strong> from our professors.<\/p>\n","protected":false},"excerpt":{"rendered":"

To know how to convert decimal into a fraction, there are two main things to understand well. The first is that all decimal numbers can be expressed as a fraction, and second is it\u2019s vice-versa. So, if you know the main steps of the conversion well, you can get the final result easily. Before getting […]<\/p>\n","protected":false},"author":1,"featured_media":4930,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[34],"tags":[227],"yoast_head":"\nHow to Convert Decimal Into Fraction and Vice-Versa<\/title>\n<meta name=\"description\" content=\"Do you want to know how to convert decimal into a fraction and vice versa? Here are easy steps for the conversion. 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