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3 years ago

If 0.142857142857......is expressed in the form m/n, then what is the valueof (2m + n)?

Mathematics

1 answer:

frosja888 [35]3 years ago

5 0

Answer:

The value will be: 1,285,713

Step-by-step explanation:

We have the number:

N = 0.142857...

Such that we have 6 decimals after the decimal point that repeat infinitely.

Then let's start by multiplying our number by 1,000,000 (same number of zeros as decimals after the decimal point)

Then we get:

1,000,000*N = 142,857.142857...

Now let's subtract N from both sides:

1,000,000*N - N = 142,857.142857... - 0.142857...

999,999*N = 142,857

Now let's isolate N

N = 142,857/999,999

Here is our number expressed in the form m/n, where:

m = 142,857

n = 999,999

Then the value of (2*m + n) is:

(2*142,857 + 999,999) = 1,285,713

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3 years ago

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Oksana_A [137]

If I understand your question well, I suppose you mean $\frac{4}{ x^{2} -35} - \frac{1}{x+5}$
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3 years ago

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Answer:

Step-by-step explanation:

Step 1 of 2: Subtract, sub-step b: Convert mixed number to improper fraction.

Convert mixed number to improper fraction

2 and 1 over 32

= ( 2 × 3 ) over 3

2 × 3

+ 1 over 3

= ( 6 + 1 ) over 3

6 + 1

= 7 over 3

Step 1 of 2: Subtract, sub-step c: Find common denominator.

Find common denominator

32 over 9

− 7 over 3

= ( 32 × 1 ) over ( 9 × 1 )

32 × 1

9 × 1

− ( 7 × 3 ) over ( 3 × 3 )

7 × 3

3 × 3

= 32 over 9

− 21 over 9

9 is the least common multiple of denominators 9 and 3. Use it to convert to equivalent fractions with this common denominator.

Step 1 of 2: Subtract, sub-step d: Subtract.

Subtract

32 over 9

− 21 over 9

= ( 32 − 21 ) over 9

32 − 21

= 11 over 9

Step 1 of 2: Subtract.

Step 2 of 2: Simplify.

Simplify

11 over 9

= 1 and 2 over 91

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3 years ago

If 0.142857142857......is expressed in the form m/n, then what is the valueof (2m + n)?​

If 0.142857142857......is expressed in the form m/n, then what is the valueof (2m + n)?