Respuesta :

icetornato
To divide -3 3/4 by 2 1/2, we first convert the mixed numbers to improper fractions.

-3 3/4 is equivalent to -15/4, and 2 1/2 is equivalent to 5/2.

Now, we divide -15/4 by 5/2:

(-15/4) ÷ (5/2)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(-15/4) * (2/5)

Now, let's multiply the numerators and denominators:

Numerator: -15 * 2 = -30
Denominator: 4 * 5 = 20

So, (-15/4) ÷ (5/2) equals -30/20.

We can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 10:

-30 ÷ 10 = -3
20 ÷ 10 = 2

Therefore, -3/2 is the simplified form of -30/20. So, -3 3/4 divided by 2 1/2 is equal to -3/2.
alimehdi19

Answer:

-3/2

Step-by-step explanation:

First, we can convert the nixed fractions to an improper fraction:

-3 3/4 = -15/4      &      2 1/2 = 5/2

Now we divide:

[tex]\frac{-15}{4} / \frac{5}{2}[/tex]

When dividing fractions, find the multiplicative inverse of the 2nd fraction and then multiply the first fraction with the multiplicative inverse of the 2nd:

[tex]\frac{-15}{4} * \frac{2}{5}[/tex]

Now we multiply and then simplify:

[tex]\frac{-30}{20} = \frac{-3}{2}[/tex]

And there's our answer :)

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