How do you simplify $(8/125) -1/3$ ?

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Answer 1 · 2016-03-17T06:00:03

$8/125-1/3=color(blue)(-101/375)$

In order to add or subtract fractions, they must have the same denominator, which is called the least common denominator (LCD).

$8/125-1/3$

Find the LCD by prime factorization of both denominators.

$125=5xx5xx5$
$3=3$

Multiply the prime factors to get the LCD.

$"LCD"=3xx5xx5xx5=375$

Multiply each fraction by a factor that will give each fraction the denominator $375$ .

$(8/125xx3/3)-(1/3xx125/125)$

Simplify.

$24/375-125/375=$

$(-101)/375=$

$-101/375$

How do you simplify (8/125) -1/3 (8/125) -1/3?