{"id":123404,"date":"2020-11-10T08:30:05","date_gmt":"2020-11-10T03:00:05","guid":{"rendered":"https:\/\/www.cbselabs.com\/?p=123404"},"modified":"2021-09-18T11:13:08","modified_gmt":"2021-09-18T05:43:08","slug":"reciprocal-of-a-rational-number","status":"publish","type":"post","link":"https:\/\/www.cbselabs.com\/reciprocal-of-a-rational-number\/","title":{"rendered":"Reciprocal of a Rational Number"},"content":{"rendered":"

In general, the Rational Number Obtained after interchanging the Numerator and Denominator is called Reciprocal of a Rational Number. Go through the entire article to learn how to find the Reciprocal of a Rational Number. Check out examples of finding the Reciprocal of\u00a0Rational Numbers<\/a>\u00a0in the further sections and solve related problems easily.<\/p>\n

How to find Reciprocal of a Rational Number?<\/h2>\n

Reciprocal of a Rational Number means interchanging of numerator and denominator. Let us assume a Non-Zero Rational Number a\/b there exists a rational number b\/a such that<\/p>\n

a\/b*b\/a=1<\/p>\n

Here the rational number b\/a is called the Reciprocal or Multiplicative Inverse of a\/b and is denoted by (a\/b)-1<\/sup>.<\/p>\n

Solved Examples on finding Reciprocal or Multiplicative Inverse<\/h3>\n

1. Find the Reciprocal of -3\/2?<\/p>\n

Solution:<\/strong><\/p>\n

Given Rational Number is -3\/2<\/p>\n

Numerator = -3<\/p>\n

Denominator = 2<\/p>\n

Interchanging the Numerator and Denominator to obtain the Reciprocal i.e. we have the Numerator = 2, Denominator = -3<\/p>\n

Resultant Rational Number = 2\/-3<\/p>\n

Reciprocal of a Rational Number is 2\/-3.<\/p>\n

2. Find the reciprocal of 3\/11*4\/5?<\/p>\n

Solution:<\/strong><\/p>\n

Given Expression is 3\/11*4\/5<\/p>\n

= 3*4\/11*5<\/p>\n

= 12\/55<\/p>\n

Reciprocal of 12\/55 is 55\/12 i.e. after Interchanging the Numerator and Denominator.<\/p>\n

3. Find the reciprocal of -4\/3 \u00d7 7\/-8?<\/p>\n

Solution:<\/strong><\/p>\n

Given Rational Expression is -4\/3 \u00d7 7\/-8<\/p>\n

= -4*7\/3*-8<\/p>\n

= -28\/-24<\/p>\n

= 7\/6<\/p>\n

The reciprocal of 7\/6 is 6\/7.<\/p>\n","protected":false},"excerpt":{"rendered":"

In general, the Rational Number Obtained after interchanging the Numerator and Denominator is called Reciprocal of a Rational Number. Go through the entire article to learn how to find the Reciprocal of a Rational Number. Check out examples of finding the Reciprocal of\u00a0Rational Numbers\u00a0in the further sections and solve related problems easily. How to find …<\/p>\n","protected":false},"author":30,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[5350],"tags":[],"yoast_head":"\nReciprocal of a Rational Number | Find Reciprocal or Multiplicative Inverse<\/title>\n<meta name=\"description\" content=\"Reciprocal of a Number can be obtained by interchanging numerator and denominator. 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