Answer:
14/45
Step-by-step explanation:
So we have the fraction:
We can do this algebraically. Follow to following steps:
Let's let this number equal to n. Thus:
Since there is only 1 digit repeating, let's multiply everything by 10. So:
Now, subtract n from both sides:
On the left, substitute the number for n. On the right, combine like terms:
All of the 1s will cancel. So:
Subtract:
Divide both sides by 9:
Remove the decimal by multiplying both sides by 10:
Reduce:
And we're done!
Use a calculator to check:
Answer:
t = 14
Step-by-step explanation:
log (7t + 2) = 2
Raise each side to the power of 10
10 ^log (7t + 2) =10^ 2
7t+2 = 100
Subtract 2 from each side
7t+2-2 = 100-2
7t = 98
Divide each side by 7
7t/7 = 98/7
t = 14