Answer (all three are correct):
1.21216(7)
7273/6000
![1(1273)/(6000)](https://img.qammunity.org/2023/formulas/mathematics/college/tkn2ojtbg8p2xnl5z9nmu32wu8qxmp10ws.png)
Explanation:
We can split this number, 7.273, into 7.2 + 0.073
7.2/6 = 1.2 because the decimal in 7.2 is one place to the left. So if you did 72/6 = 12, you have to add the decimal point 1 place to the left.
0.073/6 This one is hard
The decimal in 0.073 is 3 places to the left. Now we need to do 73/6 then add the decimal point 3 places to the left of the quotient or divide the quotient by 1000. 73/6 =
![12(1)/(6)](https://img.qammunity.org/2023/formulas/mathematics/college/l6m31oejfwqnd04mwy59uya8ohu4117ph9.png)
We can't add the decimal point to a fraction, so we can divide it by 2
![(73)/(6)/(1000)/(1)= (73)/(6)*(1)/(1000) = 73/6000 = 0.01216(7)](https://img.qammunity.org/2023/formulas/mathematics/college/kruvyuhfdse5amrmoce5lvq9zk3klwmz6m.png)
The parenthesis around 7 means repeating
1.2 + 0.01216(7) = 1.21216(7)
In fraction form, 1.2 = 7200/6000
![(7200)/(6000)+(73)/(6000) = (7273)/(6000)](https://img.qammunity.org/2023/formulas/mathematics/college/xono812smgl5b236we5vm2ybklp6f4dpns.png)
1.21216(7) is the same as 7273/6000 or 1 73/6000
Hope this helps :)
Have a great day!