Question

Which of the following is the simplified fraction that’s equivalent to 0.315? A) 35/999 B) 35/111 C) 105/333 D) 31/99

Answer 1

9514 1404 393

Answer:

  B)  35/111

Step-by-step explanation:

  $0.\overline{315}=\dfrac{315}{999}=\boxed{\dfrac{35}{111}}$

The denominator of the fraction has as many 9s as the decimal has repeating digits. Here, the numerator and denominator both have factors of 9 that can be cancelled.