Maths-
General
Easy

Question

A Manufacturer determines that the cost of making a computer the component is 2.16161616... Write the cost as a fraction and as a mixed number

hintHint:

First find the decimal part as a fraction and then add it with the whole number
part.

The correct answer is: 16/99


    Complete step by step solution:
    Let x = 0.16161616
    Now multiply by 100 on both the sides,
    We get, 100x = 16.161616
    On subtracting x from both the sides, we have
    100x - x = 16.161616 - 0.16161616
    rightwards double arrow 99 x space equals space 16
rightwards double arrow x space equals space 16 over 99
    Now we have a fraction for 0.161616. On adding it with 2, we have
    not stretchy rightwards double arrow 2 plus 16 over 99
    not stretchy rightwards double arrow 214 over 99 as improper fraction
    not stretchy rightwards double arrow 2 16 over 99 as mixed fraction

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