Question

find two fractions getting closer and closer to 1/11 and denominators as 100 and 1000? ​

Answer 1

Answer:

Step-by-step explanation:

Suppose $\frac{x}{100}$ is closer to $\frac{1}{11}$

Now,

                   $\frac{1}{11} =0.0909$

Therefore,

                         $\frac{x}{100} =0.0909\\x=9.0909$

Therefore, the fraction will be $\frac{9.0909}{100}$

Now,

Suppose $\frac{x}{1000}$ is closer to $\frac{1}{11}$

Now,

                   $\frac{1}{11} =0.0909$

Therefore,

                         $\frac{x}{1000} =0.0909\\x=90.9090$

Therefore, the fraction will be $\frac{90.9090}{1000}$

That means,

                    $\frac{9.0909}{100}$ and $\frac{90.9090}{1000}$ are the two fractions getting closer and closer to $\frac{1}{11}$