Question

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

Answer 1

`x=3.\overline{48}\\ 100x=348.\overline{48}\\ 100x-x=348.\overline{48}-3.\overline{48}\\ 99x=345\\ x=(345)/(99)=(115)/(33)\\\\ x=1.\overline{07}\\ 100x=107.\overline{07}\\ 100x-x=107.\overline{07}-1.\overline{07}\\ 99x=106\\ x=(106)/(99)`

Answer 2

For the number 3.48 we have:

We multiply and divide the number by 100:

`3.48 * ((100)/(100)) =(348)/(100)`

We simplify the fraction obtained.

`(348)/(100) =(87)/(25)`

Answer:

3.48 repeating as a fraction is:

`3.48 = (87)/(25)`

For the number 1.07 we have:

We multiply and divide the number by 100:

`1.07 * ((100)/(100)) =(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 = (107)/(100)`