Question

. Fill in the blanks: 5/12 ÷ (_____) = -35/18 *

1 point

(a) -21/36

(b) -12/19

(c) -5/18

(d) -3/14​

Answer 1

Answer:

Let the unknown number be x.

According to question,

$\dashrightarrow \sf \frac{5}{12} \div x = \frac{ - 35}{18}$

$\dashrightarrow \sf \frac{5}{12} \times \frac{1}{x} = \frac{ - 35}{18}$

$\dashrightarrow \sf \frac{5}{12x}= \frac{ - 35}{18}$

• By Cross Multiplication :

$\dashrightarrow \sf12x \times ( - 35) = 5\times 18$

$\dashrightarrow \sf - 420x = 90$

$\dashrightarrow \sf x = \frac{ \cancel{90}}{ - \cancel{ 420}}$

$\dashrightarrow \underline{ \boxed{ \pink{ \tt x = \frac{ - 3}{14} }}}$

Hence, Option (d)-3/14 is correct.

Answer 2

Answer:

Answer:

Let the unknown number be x.

According to question,

\begin{gathered} \dashrightarrow \sf \frac{5}{12} \div x = \frac{ - 35}{18} \\ \\ \end{gathered}

⇢

12

5

÷x=

18

−35

\begin{gathered} \dashrightarrow \sf \frac{5}{12} \times \frac{1}{x} = \frac{ - 35}{18} \\ \\ \end{gathered}

⇢

12

5

×

x

1

=

18

−35

\begin{gathered}\dashrightarrow \sf \frac{5}{12x}= \frac{ - 35}{18} \\ \\ \end{gathered}

⇢

12x

5

=

18

−35

By Cross Multiplication :

\begin{gathered}\dashrightarrow \sf12x \times ( - 35) = 5\times 18 \\ \\ \end{gathered}

⇢12x×(−35)=5×18

\begin{gathered}\dashrightarrow \sf - 420x = 90 \\ \\ \end{gathered}

⇢−420x=90

\begin{gathered}\dashrightarrow \sf x = \frac{ \cancel{90}}{ - \cancel{ 420}} \\ \\ \end{gathered}

⇢x=

−

420

90

\dashrightarrow \underline{ \boxed{ \pink{ \tt x = \frac{ - 3}{14} }}}⇢

x=

14

−3

Hence, Option (d)-3/14 is correct.