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sergey
7 days ago
8

What is 72.1 repeating as a fraction

Mathematics
2 answers:
Leona [9.2K]7 days ago
6 0

Assume

x=72.111...

Scale x by an appropriate power of 10 so the non-integer portion lines up:

10x=721.111..


Now subtract x from \\10x


10x-x=721.111-72.111=649


This removes the repeating decimal bits


\\9x=649


Isolate x


Divide both sides by 9


9x/9=649/9


x=649/9


Hence


So the result is


The fraction is \frac{649}{9}


tester [8.8K]7 days ago
4 0
x=72.\overline{1}\\
10x=721.\overline{1}\\
10x-x=721.\overline{1}-72.\overline{1}\\
9x=649\\
x=\dfrac{649}{9}
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