Question

Express 3.4575757.... in p/q form​

Answer 1

Answer:

The Statement is 3.4575757

so, if the 3.4575757then

=345/100

Answer 2

Let's assume that

${:\implies \quad \sf x=3.457575\cdots \cdots ---eq.(i)}$

Now, multiply both sides by 100 to obtain

${:\implies \quad \sf 100x=345.757575\cdots \cdots ---eq.(ii)}$

Now, subtract eq.(i) from eq.(ii)

${:\implies \quad \sf 100x-x=(345.757575\cdots \cdots)-(3.457575\cdots \cdots)}$

${:\implies \quad \sf 99x=\dfrac{3423}{10}}$

${:\implies \quad \boxed{\bf{x=\dfrac{1141}{330}}}}$

This is the required answer