What is (-1000)/(-1000-4) ?

The solution to (-1000)/(-1000-4) is 250/251

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simplify (-1000)/(-1000-4)

simplify

\frac{- 1000}{- 1000 - 4}

\frac{250}{251}

Solution steps

\frac{- 1000}{- 1000 - 4}

Factor

- 1000 - 4 : - (1000 + 4)

= \frac{- 1000}{- ( 1000 + 4 )}

Apply the fraction rule:

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

= \frac{1000}{1000 + 4}

Add the numbers:

1000 + 4 = 1004

= \frac{1000}{1004}

Factor the number:

1000 = 4 \cdot 250

= \frac{4 \cdot 250}{1004}

Factor the number:

1004 = 4 \cdot 251

= \frac{4 \cdot 250}{4 \cdot 251}

Cancel the common factor:

4

= \frac{250}{251}

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