write 3.48 repeating as a fraction and write 1.07 repeating as a fraction

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13-02-2015
Mathematics

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write 3.48 repeating as a fraction and write 1.07 repeating as a fraction

Answer :

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konrad509 konrad509 · Answer 1 · 2015-02-13T11:32:38-05:00

konrad509 konrad509

13-02-2015

[tex]x=3.\overline{48}\\ 100x=348.\overline{48}\\ 100x-x=348.\overline{48}-3.\overline{48}\\ 99x=345\\ x=\dfrac{345}{99}=\dfrac{115}{33}\\\\ x=1.\overline{07}\\ 100x=107.\overline{07}\\ 100x-x=107.\overline{07}-1.\overline{07}\\ 99x=106\\ x=\dfrac{106}{99}[/tex]

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carlosego carlosego · Answer 2 · 2018-07-23T07:10:37-04:00

For the number 3.48 we have:

We multiply and divide the number by 100:

[tex] 3.48 * (\frac{100}{100}) =\frac{348}{100} [/tex]

We simplify the fraction obtained.

[tex] \frac{348}{100} =\frac{87}{25} [/tex]

Answer:

3.48 repeating as a fraction is:

[tex] 3.48 = \frac{87}{25} [/tex]

For the number 1.07 we have:

We multiply and divide the number by 100:

[tex] 1.07 * (\frac{100}{100}) =\frac{107}{100} [/tex]

The fraction obtained can not be simplified because we do not have multiples of the numerator and denominator equal.

Answer:

1.07 repeating as a fraction is:

[tex] 1.07 = \frac{107}{100} [/tex]