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
