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91Ó°ÊÓ

Name the reciprocal of the following number.

334

Short Answer

Expert verified

The reciprocal of 334is 415.

Step by step solution

01

Step 1. Formula Used.

The rule for converting a mixed number into an improper fraction.

abc=a×c+bc

02

Step 2. Definition of reciprocal.

The product of any number and its reciprocal is 1.

03

Step 3. Example.

Let a be any number then its reciprocal is given by

a·1a=1

Hence, reciprocal of a is 1a.

04

Step 4. Find the reciprocal of the given number.

First, simplify mixed number to an improper fraction and then divide 1 by the improper fraction and simplify further as follows:

334=3×4+34=154

So, the reciprocal is given by

1154=415

The reciprocal of 334is 415.

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