Express 0.4343 in the form of p/q where p and q are integers and q ≠ 0.
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We first let 0.43 (3 being repeated) be
x
.
Since
x
is recurring in 1 decimal places, we multiply it by 10.
10/x
=
4.33
Next, we subtract them.
10/x - x
=
4.33
−
0.43
9/x
=
3.9
Lastly, we divide both sides by 9 to get
x
as a fraction.
x
=
3.9/9
=
39/90
=
13/30
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