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Simplify Negative three and one-half minus negative twelve and one-fourth


Negative fifteen and three-fourths

Fifteen and three-fourths

Negative eight and three-fourths

Eight and three-fourths

Verified Answer :

The answer is D. eight and three-fourths( 8 3/4)

Answer:  Eight and three-fourths

Step-by-step explanation:

The given phrase : Negative three and one-half minus negative twelve and one-fourth

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The expression according to the given phrase will be :-

\(-3\dfrac{1}{2}-(-12\dfrac{1}{4})\\\\\)

To simplify the above expression , we first convert the mixed fraction into improper fractions  , we get

\(\dfrac{-7}{2}-(\dfrac{-49}{4})\\\\=\dfrac{-7}{2}+\dfrac{49}{4}\\\\=\dfrac{-14+49}{4}\\\\=\dfrac{35}{4}=8\dfrac{3}{4}\)

i.e. Eight and three-fourths.