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anonymous
 one year ago
What is the rational number equivalent to 3 point 24 with a bar over 24?
3 and 6 over 97
3 and 28 over 99
3 and 8 over 33
3 and 10 over 32
anonymous
 one year ago
What is the rational number equivalent to 3 point 24 with a bar over 24? 3 and 6 over 97 3 and 28 over 99 3 and 8 over 33 3 and 10 over 32

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0hmmm test the given choices, see which one gives you \(\bf 3.\overline{24}\iff 3.242424242424...\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[3.242424....=3+.24+.0024+.000024+...\] .24+.0024+.000024+... find the sum of infinite G.P

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0dw:1438125550660:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0The whole part is 3. Let's try to find the fraction equivalent to 0.242424...

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0Since 0.242424... has a repeating 2digit pattern, we use the number 100 (which has 2 zeroes following the 1)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0Let x = 0.242424...

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0dw:1438125675580:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0Now we use the number 100. We multiply both sides of x = 0.242424... by 100 and write above x = 0.242424... dw:1438125735514:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0Now we subtract the bottom equation from the top equation. dw:1438125774875:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0Now we solve for x and reduce: dw:1438125803637:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0Since we now know that 0.242424... = 8/33, we can finish the problem: 3.242424... = 3 8/33
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