Please help thank you
1 answer:
Answer:
a = 4
b = 11
Step-by-step explanation:
To convert the recurring decimals into fraction we will follow the following process.
Given recurring decimal is 0.36363636....
Let x = 0.363636......... (1)
Multiply this decimal with 100.
100x = 36.36363636...........(2)
Now subtract expression (1) from expression (2)
100x = 36.363636.......
<u> x = 0.363636.......</u>
99x = 36
x =
x =
Since,
a = 4 and b = 11 will be the answer.
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Answer:
Colin gets of the total money
Step-by-step explanation:
If we let the total amount be "90" (or any multiple of 9), then the solution gets much easy.
Let total money be 90.
Caroline gets 1/9, so that is:
1/9 * 90 = 10
Remaining is 90 - 10 = 80
This 80 is divided in the ratio 1:3, that means Colin gets 1 part and Sarah gets 3 part. That is 1 + 3 = 4 parts altogether.
80 divided in 4 parts is 80/4 = 20 each part.
Colin gets 1 part, that is 1 * 20 = 20
Colin gets 20 OUT OF 90 (total initial).
<em>What proportion is that? We simply divide and reduce!!</em>
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20/90 = 2/9
Colin gets of the total money