Question

Express the rational number 1/33 in recurring decimal from using using the recurring decimal expasiok of 1/11 Hence write 71/33 in recurring decimal from

Answer 1

Answer:

1/33 = 0.030303030

71/33 = 2.15151515

Step-by-step explanation:

Express : The rational number 1/33 in recurring decimal form by using the recurring decimal expansion of 1/11  .

Hence write   in recurring decimal form.

Solution:

First we find the rational number 1/11 in decimal form.

Now, 1/33 is re-written as

1/33 = 1/3 * 1/11

1/33 =  1/3 *0.090909090....

1/33 = 0.03030303030...

Now, To write $71/33$ in recurring decimal form

71/33 = 71 * 1/33

71/33 = 71 * 0.030303030...

71/33 = 2.1515151515...

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