Question

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

Answer 1

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:

$1.07 = \frac{107}{100}$

Answer 2

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