Question

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Answer 1

Answer:

-3/2

Step-by-step explanation:

First, you divide by taking the reciprocal of -2/5 which is -5/2.

Second, you get the answer which is -5/4.

Add that with -1/4 and you will get -6/4.

Simplify to get the answer which is -3/2.

Answer 2

Answer:

$-\dfrac{3}{2}$

Step-by-step explanation:

Given expression:

$\dfrac{\dfrac{1}{2}}{-\dfrac{2}{5}}+\left(-\dfrac{1}{4}\right)$

To divide fractions, flip the second fraction (make the numerator the denominator, and the denominator the numerator) then multiply it by the first fraction:

$\implies \dfrac{1}{2} \times -\dfrac{5}{2}+\left(-\dfrac{1}{4}\right)$

To multiply the fractions, multiply the numerators and multiply the denominators:

$\implies \dfrac{1 \times (-5)}{2 \times 2} +\left(-\dfrac{1}{4}\right)$

$\implies -\dfrac{5}{4} +\left(-\dfrac{1}{4}\right)$

Apply the rule -a + (-b) = -a - b :

$\implies -\dfrac{5}{4} -\dfrac{1}{4}$

As the denominators are the same, subtract the numerators and put the answer over the same denominator:

$\implies \dfrac{-5-1}{4}$

$\implies -\dfrac{6}{4}$

Simplify by dividing the numerator and denominator by the highest common factor:

$\implies -\dfrac{6 \div 2}{4 \div 2}$

$\implies -\dfrac{3}{2}$