Question

Draw lines to connect each repeating decimal on the left with an equivalent fraction on the right . Hurry !!

Answer 1

Answer:  0.17 (bar over 17) = 17/99

               0.351 (bar over 351) = 351/99

               0.17 (bar over 7) = 16/90 = 8/45

               0.351 (bar over 51) = 348/990 = 58/165

               0.351 (bar over 1) = 316/900 = 79/225

Step-by-step explanation:

A bar over a number means it is a repeating decimal.  Instead of dividing the value by 10, 100, 1000, etc, you need to divide by 9, 90, 900, etc.

0.17 (bar over 17) = 17/99 --> two digits under the bar so denominator has two 9s

0.351 (bar over 351) = 351/999  ---> three digits under the bar so denominator has three 9s

0.17 (bar over 7) = 1/10 + 7/90  = 9/90 + 7/90  = 16/90  ---> one digit under the bar so denominator has one 9 & one digit not under the bar so it has one zero in the denominator

0.351 (bar over 51) = 3/10 + 51/990 = 297/990 + 51/990 = 348/990  ---> two digits under the bar so denominator has two 9s & one digit not under the bar so it has one zero in the denominator

0.351 (bar over  1) = 35/100 + 1/900 = 315/900 + 1/900 = 316/900   ---> one digit under the bar so denominator has one 9 & two digits not under the bar so it has two zeros in the denominator