Convert 11.42424242 to a rational expression in the form of a/b , where b ≠ 0.

Mathematics

2 answers:

Savatey [412]3 years ago

6 0

Answer:

Step-by-step explanation:

11 42/99

TiliK225 [7]3 years ago

5 0

11.424242
isolate the repeating part
11+0.424242

focus on the repeating part
0.42424242
how many places till it repeats again?
2
let's say it is x
x=0.42424242
multiply by 100
100x=42.424242

subtract them
100x-x=42.42424242-0.42424242
the infinite repeats cancel and we get
99x=42
divide by 99
$x=\frac{42}{99}$

so
$11.\overline{42}=11 \space\ \frac{42}{99}$

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