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3 years ago

Plz help me ;-; what is 3.41 repeating as a fraction

Mathematics

2 answers:

shtirl [24]3 years ago

6 0

Answer:

$\frac{338}{99}$ is the answer.

Step-by-step explanation:

let x = 3.4141.....

multiplying both sides by 100 [ since it has two repeating decimals],we get

100x 341.4141...

subtracting from the first ,we get

99x = 338

so x = $\frac{338}{99}$

Sholpan [36]3 years ago

4 0

Remark

I'm going to assume that it is just the 0.41 that is doing the repeating. If it is not leave me a note.

Solution

The trick is to call x = 3.4141414141 ....

then multiply by 100

100 x = 341.4141414141 ............ Now write the original decimal underneath.

. . . x = 3.414141414141 ............ Subtract

99 x = 338 That's all that's left. The decimal part cancels out.

x = 338 / 99 Fractional answer.

x = 3 39/99

x = 3 13/33 If this isn't one of your answers, leave me a note.

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Answer:

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Step-by-step explanation:

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2(H -6 + 1) = (J +6 -1) . . . . . Hank's offer

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These equations can be simplified to ...

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Solution

Adding twice the second equation to the first gives ...

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Adding 6 times the third equation to this one gives ...

6(6J -D) +(6D -J) = 6(21) +(119)

35J = 245

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Using this value in the third equation gives ...

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Using the value of J in the first equation gives ...

2H -7 = 15

H = (15 +7)/2 = 11

Then the solution is (J, D, H) = (7, 21, 11).

Jim's drove had 7 animals; Duke's drove had 21 animals; Hank's drove had 11 animals.

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