Final answer:
To round the ratio 1/a = 2/14 to the nearest hundredth, we need to find the value of a and then substitute it back into the original ratio. The rounded value of 1/a is 0.14.
Step-by-step explanation:
To round the ratio 1/a = 2/14 to the nearest hundredth, we need to find the value of a. To do this, we can cross multiply the ratios:
1 * 14 = 2 * a
14 = 2a
a = 14/2
a = 7
So, a = 7. Now we can substitute this value back into the original ratio:
1/7 = 2/14
Since 2/14 simplifies to 1/7, the rounded value of 1/a to the nearest hundredth is 0.14.