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

Sagot :

konrad509
[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]
carlosego

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]

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