Mathematics

Question

Which decimal number is 17/22 equal to?

2 Answer

  • It is equal to 0.7727272727
  • Answer with explanation:

    A decimal number is terminating , if it's denominator is of the form [tex]2^p \text{or} 2^p \times 5^q \text{or} 5^q.[/tex]

    The fraction or Rational number ,

                                              [tex]\frac{17}{22}=\frac{17}{11\times 2}[/tex]

    has both 2, and 11 in the denominator,it means this decimal number is non terminating repeating.

    So, [tex]\frac{17}{22}=0.72272727......\\\\=0.72\bar{27}[/tex]

    Non terminating repeating decimal.

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