Question

3.28 in the simplest form of p/ q

Answer 1

hey mate! here's your answer!
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let x = 3.$\overline{28}$

so,

100x = 100 × 3.$\overline{28}$

=> 100x = 328.$\overline{28}$

then, we will substract from big number, that is ,

=> 100x - x = 328.$\overline{28}$ - 3.$\overline{28}$

=> 99x = 325

now, if 99 is multiplying, then, after taking it to other side, it will divide,

=> x = $\frac{325}{99}$

thus, 3.$\overline{28}$ in p/q form is $\frac{325}{99}$.