What is (85000)/((13%-6%)-1400000) ?

The solution to (85000)/((13%-6%)-1400000) is -425000000/6999999389

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Popular >

simplify (85000)/((13%-6%)-1400000)

Solution

simplify

\frac{85000}{( 13% - 6% ) - 1400000}

Solution

- \frac{425000000}{6999999389}

Decimal Notation

- 0.06071 \dots

Solution steps

\frac{85000}{( 13% - 6% ) - 1400000}

Apply rule:

(a) = a

(13% - 6%) = 13% - 6%

= \frac{85000}{13% - 6% - 1400000}

Simplify

13% - 6% - 1400000 : - \frac{6999999389}{5000}

13% - 6% - 1400000

13% - 6% = \frac{13}{100} - 6% \cdot \frac{13}{100}

13% - 6%

Convert

13%

into a fraction:

\frac{13}{100}

13%

Rewrite

13%

\frac{13}{100}

= \frac{13}{100}

= \frac{13}{100} - 6%

= \frac{13}{100} - 6% \cdot \frac{13}{100}

= (\frac{13}{100} - 6% \cdot \frac{13}{100}) - 1400000

Apply rule:

(a) = a

(\frac{13}{100} - 6% \cdot \frac{13}{100}) = \frac{13}{100} - 6% \cdot \frac{13}{100}

= \frac{13}{100} - 6% \cdot \frac{13}{100} - 1400000

\frac{13}{100} - 6% \cdot \frac{13}{100} - 1400000 = - \frac{6999999389}{5000}

\frac{13}{100} - 6% \cdot \frac{13}{100} - 1400000

6% \cdot \frac{13}{100} = \frac{39}{5000}

6% \cdot \frac{13}{100}

6% = \frac{3}{50}

6%

6% = \frac{6}{100}

6%

Rewrite

6%

\frac{6}{100}

= \frac{6}{100}

= \frac{6}{100}

Factor the number:

6 = 2 \cdot 3

= \frac{2 \cdot 3}{100}

Factor the number:

100 = 2 \cdot 50

= \frac{2 \cdot 3}{2 \cdot 50}

Cancel the common factor:

2

= \frac{3}{50}

= \frac{3}{50} \cdot \frac{13}{100}

\frac{3}{50} \cdot \frac{13}{100} = \frac{39}{5000}

\frac{3}{50} \cdot \frac{13}{100}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{3 \cdot 13}{50 \cdot 100}

Multiply the numbers:

3 \cdot 13 = 39

= \frac{39}{50 \cdot 100}

Multiply the numbers:

50 \cdot 100 = 5000

= \frac{39}{5000}

= \frac{39}{5000}

= \frac{13}{100} - \frac{39}{5000} - 1400000

\frac{13}{100} - \frac{39}{5000} - 1400000 = - \frac{6999999389}{5000}

\frac{13}{100} - \frac{39}{5000} - 1400000

Convert element to fraction:

- 1400000 = \frac{- 1400000}{1}

= \frac{13}{100} - \frac{39}{5000} + \frac{- 1400000}{1}

\frac{13}{100} - \frac{39}{5000} + \frac{- 1400000}{1} = \frac{- 6999999389}{5000}

\frac{13}{100} - \frac{39}{5000} + \frac{- 1400000}{1}

Least Common Multiplier of

100, 5000, 1 : 5000

100, 5000, 1

Least Common Multiplier (LCM)

Prime factorization of

100 : 2 \cdot 2 \cdot 5 \cdot 5

100

100

divides by

2100 = 50 \cdot 2

= 2 \cdot 50

50

divides by

250 = 25 \cdot 2

= 2 \cdot 2 \cdot 25

25

divides by

525 = 5 \cdot 5

= 2 \cdot 2 \cdot 5 \cdot 5

2, 5

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 5 \cdot 5

Prime factorization of

5000 : 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 5 \cdot 5

5000

5000

divides by

25000 = 2500 \cdot 2

= 2 \cdot 2500

2500

divides by

22500 = 1250 \cdot 2

= 2 \cdot 2 \cdot 1250

1250

divides by

21250 = 625 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 625

625

divides by

5625 = 125 \cdot 5

= 2 \cdot 2 \cdot 2 \cdot 5 \cdot 125

125

divides by

5125 = 25 \cdot 5

= 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 25

25

divides by

525 = 5 \cdot 5

= 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 5 \cdot 5

2, 5

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 5 \cdot 5

Prime factorization of

1

Compute a number comprised of factors that appear in at least one of the following:

100, 5000, 1

= 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 5 \cdot 5

Multiply the numbers:

2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 5 \cdot 5 = 5000

= 5000

Adjust Fractions based on the LCM

Multiply each numerator by the same amount needed to multiply its

corresponding denominator to turn it into the LCM

5000

For

\frac{13}{100} :

multiply the denominator and numerator by

50

\frac{13}{100} = \frac{13 \cdot 50}{100 \cdot 50} = \frac{650}{5000}

For

\frac{- 1400000}{1} :

multiply the denominator and numerator by

5000

\frac{- 1400000}{1} = \frac{- 1400000 \cdot 5000}{1 \cdot 5000} = \frac{- 7000000000}{5000}

= \frac{650}{5000} - \frac{39}{5000} + \frac{- 7000000000}{5000}

Apply the fraction rule:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{650 - 39 - 7000000000}{5000}

Subtract the numbers:

650 - 39 - 7000000000 = - 6999999389

= \frac{- 6999999389}{5000}

= \frac{- 6999999389}{5000}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{6999999389}{5000}

= - \frac{6999999389}{5000}

= - \frac{6999999389}{5000}

= \frac{85000}{- \frac{6999999389}{5000}}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{85000}{\frac{6999999389}{5000}}

Apply the fraction rule:

\frac{a}{\frac{b}{c}} = \frac{a \cdot c}{b}

\frac{85000}{\frac{6999999389}{5000}} = \frac{85000 \cdot 5000}{6999999389}

= - \frac{85000 \cdot 5000}{6999999389}

Multiply the numbers:

85000 \cdot 5000 = 425000000

= - \frac{425000000}{6999999389}

Popular Examples

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5*4^2-8*2+5

5 \cdot 4^{2} - 8 \cdot 2 + 5

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(+6)+(-5)+(+3)+(-2)

(+ 6) + (- 5) + (+ 3) + (- 2)

8\times 3^5

8 \times 3^{5}

Frequently Asked Questions (FAQ)

What is (85000)/((13%-6%)-1400000) ?
The solution to (85000)/((13%-6%)-1400000) is -425000000/6999999389