write 3.48 repeating as a fraction and write 1.07 repeating as a fraction
\(x=3.\overline{48}\\ 100x=348.\overline{48}\\ 100x-x=348.\overline{48}-3.\overline{48}\\ 99x=345\\ x=\dfrac{345}{99}=\dfrac{115}{33}\\\\ x=1.\overline{07}\\ 100x=107.\overline{07}\\ 100x-x=107.\overline{07}-1.\overline{07}\\ 99x=106\\ x=\dfrac{106}{99}\)
For the number 3.48 we have:
We multiply and divide the number by 100:
\(3.48 * (\frac{100}{100}) =\frac{348}{100}\)
We simplify the fraction obtained.
\(\frac{348}{100} =\frac{87}{25}\)
Answer:
3.48 repeating as a fraction is:
\(3.48 = \frac{87}{25}\)
For the number 1.07 we have:
We multiply and divide the number by 100:
\(1.07 * (\frac{100}{100}) =\frac{107}{100}\)
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:
\(1.07 = \frac{107}{100}\)