Question

Medal+Fan plz help :)


What is the rational number equivalent to 3.12 with a bar over 12?

A. 3 and 4 over 33

B. 3 and 8 over 33

C. 3 and 10 over 39

D. 3 and 5 over 39

Answer 1

@Opcode can u help?

Answer 2

Do you know what a rational number is?

Answer 3

kinda

Answer 4

Okay well do you know what the bar over 12 means?

Answer 5

repeating decimal?

Answer 6

so where r u stuck! ?

Answer 7

on how to make it a fraction

Answer 8

You are correct, the bar over the 12 indicates that.
3.12 has 121212121212 repeating after the decimal point forever.

Answer 9

Do you know how to turn mixed fractions into improper fractions?

Answer 10

yes

Answer 11

a little

Answer 12

Can you convert:
\[3 \dfrac{4}{33}\]

Into a improper fraction?

Answer 13

\[\frac{ 103 }{ 33 }\] ?

Answer 14

Correct, now to the division that fraction entails.
So:
\[103 \div 33\]

Answer 15

3.12121212...

Answer 16

So the answer choice is?

Answer 17

A

Answer 18

Correct!

Answer 19

thxx! :D :D

Answer 20

You are welcome. :-)

Answer 21

rule of thumb

.a bar = a/9

.aa bar = aa/99

.aaa bar = aaa/999

so here
.12 bar = 12/99

Answer 22

12/99 is 4/33

3.12 bar is 3 4/33 :)

Answer 23

Woah, I did not know about that.
Amazing trick @hartnn

Answer 24

thx aswell @hartnn :)

Answer 25

^_^