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8 votes
8 votes
Convert decimal 0.79 to fraction ( the last digit 9 repeating)

User Marcelofreires
by
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1 Answer

17 votes
17 votes

Given:


\text{Let x=0.7999}\ldots\text{ (1)}

Multiply euation (1) by 10 on both sides


10x=7.999\ldots\text{ (2)}

Multiply equation (1) by 100 on both sides


100x=79.999\ldots\text{ (3)}

Subtract equation(2) from equation(3)


90x=72
x=(72)/(90)
x=(4)/(5)
0.79=(4)/(5)