Question

Divide. (5 1/4)÷(−2 1/2) Enter your answer as a mixed number, in simplified form, in the box.

Answer 1

21/4 x - 5/2 = -105/8 or 13 1/8

Answer 2

Answer: $-2\dfrac{1}{10}$

Step-by-step explanation:

The given expression to simplify : $5\dfrac{1}{4}\div-2\dfrac{1}{2}$   (i)

First we convert mixed fraction into improper fraction as :

$5\dfrac{1}{4}=\dfrac{5\times4+1}{4}=\dfrac{20+1}{4}=\dfrac{21}{4}$

$-2\dfrac{1}{2}=-\dfrac{2\times2+1}{2}=-\dfrac{4+1}{2}=\dfrac{-5}{2}$

Now , put them in (i) , we get

$\dfrac{21}{4}\div\dfrac{-5}{2}$

$=\dfrac{21}{4}\times\dfrac{-2}{5}=\dfrac{-21}{10}=-\dfrac{20+1}{10}=-2\dfrac{1}{10}$

Hence, the required answer is $-2\dfrac{1}{10}$.