-3/4 - 1/5 divide by 2/5 = ? can you explain how to work this problem also

Mathematics

1 answer:

sweet-ann [11.9K]3 years ago

7 0

Answer:

$-2\frac{3}{8}$

Step-by-step explanation:

We are given the following expression and we are to solve it:

$\frac{-\frac{3}{4} -\frac{1}{5} }{\frac{2}{5} }$

Firstly, we will take the LCM of the fractions in the denominator to make it a single fraction and then solve further:

$\frac{\frac{-3(5)-1(4)}{20} }{\frac{2}{5} }$

$\frac{\frac{-15-4}{20} }{\frac{2}{5}}$

$\frac{-\frac{19}{20} }{\frac{2}{5} }$

Changing the division into multiplication by taking a reciprocal of the denominator:

$-\frac{19}{20} *\frac{5}{2}$

$-\frac{19}{8}$

$-2\frac{3}{8}$

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1. Let's call the number of carter school: "x" and "y" the number of alternative school. Then, you have that:

- The number of charter schools is 4 less than twice the number of alternative schools.
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2. So, you have:

x=2y-4 (i)

x=48 (ii)

3. Then, when you substitute x=48 into the equation (i), you obtain:

x=2y-4
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4. Now, you must clear "y, as below:

48+4=2y
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The answer is: There are 26 alternative schools.

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iogann1982 [59]

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