Question

Q7. Divide the sum of -3/4 and -5/12 by their product.


please answer it asap..
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Answer 1

Answer:

$\sf{\dfrac{ (- 56)}{15}}$

Step-by-step explanation:

★ Sum of $\sf{\dfrac{-3}{4}}$ and $\sf{\dfrac{-5}{12}}$

$\sf{\dfrac{ (- 3)}{4}} + \dfrac{( - 5)}{12}$

LCM of 4 and 12 -

$\begin{array}{r|l}2 & 4,12 \\\cline{1-2} 2 & 2,6 \\ \cline{1-2} 3 & 1,3 \\\cline{1-2} & 1,1 \end{array}$

LCM = 2 × 2 × 3 = 4 × 3 = 12

⇒ $\sf{\dfrac{ - 3 \times 3}{4 \times 3} + \dfrac{( - 5)}{12}}$

⇒ $\sf{\dfrac{( - 9) + ( - 5)}{12}}$

⇒ $\sf{\dfrac{ (- 14)}{12}} \: - - - (Sum)$

$\rule{300}{1.5}$

★ Product of $\sf{\dfrac{-3}{4}}$ and $\sf{\dfrac{-5}{12}}$

⇒ $\sf{\dfrac{ (- 3)}{4}} \times \dfrac{( - 5)}{12}$

⇒ $\sf{\dfrac{ (- 1)}{4}} \times \dfrac{( - 5)}{4}$

⇒ $\sf{\dfrac{5}{16}} \: - - - (Product)$

$\rule{300}{1.5}$

★ Division of $\sf{\dfrac{-14}{12}}$ and $\sf{\dfrac{5}{16}}$

⇒ $\sf{ \dfrac{\frac{(-14)}{12}}{ \: \frac{5}{16}}}$

⇒ $\sf\dfrac{( - 14)}{12} \times \dfrac{16}{5}$

⇒ $\sf\dfrac{( - 14)}{3} \times \dfrac{4}{5}$

⇒ $\sf{\dfrac{ (- 56)}{15}}$

Answer - $\sf{\dfrac{ (- 56)}{15}}$

Answer 2

Step-by-step explanation:

Aloha !

$\text{ This is Twilight Astro^_^}$^_^

$Here is your Answer$

sum:-

-¾ + -5/12

=-9-5/12

=-14/12

product:-

-¾×-5/12

= -¾×-5/12

=-1/4×-5/4

=5/16

Division:-

-14/12÷5/16

= -14/12×16/5

=-14/3×4/5

= -56/15

Thank you

@ Twilight Astro ✌️☺️♥️