Maths-
General
Easy
Question
Express 1.666666….. as a vulgar fraction.
Hint:
Hint:
A repeating decimal is a decimal representation of a number whose digits are periodic (repeating its values at regular intervals) and the infinitely repeated portion is not zero. These repeating can be expressed in p/q form using some simple methods.
The correct answer is: 5/3
The given number is 1.666666….. which can be written as 
.
Let’s say x=
Step 1 of 2:
x=………..(1)
Multiplying both sides by 10
Step 2 of 2:
Subtracting equation (2) by equation (1)
Simplifying the fraction:
Final Answer:
Hence, the vulgar fraction or fraction of 1.666666….. is .
Note: This question can also be solved by using the concept of the sum of infinite terms which are in geometric progression.
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