Question

The product of two rational numbers is 20/56. If one of the numbers is -5/48,
find the other,​

Answer 1

Step-by-step explanation:

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$\maltese \: \large \underline{ \bf{Answer :-}}$

Given :

• The product of two number is 20/56
• One of the number is -5/48

To Find :

• Have to find the other number which is multiplied by -5/48 gives that 20/56.

Solution :

Let us assume that other number be "x".

Now,

According to question,

Product of two rational numbers is 20/56

$\longmapsto \sf \: (x) \times \left( \dfrac{ - 5}{48} \right ) = \frac{20}{56}$

$\longmapsto \sf \: \frac{ - 5x}{48} = \frac{20}{56}$

$\longmapsto \sf \: - 5x = \frac{20}{56} \times 48$

$\longmapsto \sf \: - 5x = \frac{20}{7} \times 6$

$\longmapsto \sf \: - 5x = \frac{120}{7}$

$\longmapsto \sf \:x = - \frac{120}{7 \times 5}$

$\longmapsto \sf \:x = - \frac{120}{35}$

$\longmapsto \sf \:x = - \frac{24}{7}$

•°• Other number is -24/7 .

Verification:-

-24/7 × -5/48 = 20/56

120/336 = 20/56

20/56 = 20/56

[ °•° 120/336 = 20/56 , By multiples of 6]

Hence Verified !!

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Answer 2

Step-by-step explanation:

Step-by-step explanation:

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\maltese \: \large \underline{ \bf{Answer :-}}✠

Answer:−

Given :

The product of two number is 20/56

One of the number is -5/48

To Find :

Have to find the other number which is multiplied by -5/48 gives that 20/56.

Solution :

Let us assume that other number be "x".

Now,

According to question,

Product of two rational numbers is 20/56

\begin{gathered} \longmapsto \sf \: (x) \times \left( \dfrac{ - 5}{48} \right ) = \frac{20}{56} \\ \end{gathered}

⟼(x)×(

48

−5

)=

56

20

\begin{gathered}\longmapsto \sf \: \frac{ - 5x}{48} = \frac{20}{56} \\ \end{gathered}

⟼

48

−5x

=

56

20

\begin{gathered}\longmapsto \sf \: - 5x = \frac{20}{56} \times 48 \\ \end{gathered}

⟼−5x=

56

20

×48

\begin{gathered}\longmapsto \sf \: - 5x = \frac{20}{7} \times 6 \\ \end{gathered}

⟼−5x=

7

20

×6

\begin{gathered}\longmapsto \sf \: - 5x = \frac{120}{7} \\ \end{gathered}

⟼−5x=

7

120

\begin{gathered}\longmapsto \sf \:x = - \frac{120}{7 \times 5} \\ \end{gathered}

⟼x=−

7×5

120

\begin{gathered}\longmapsto \sf \:x = - \frac{120}{35} \\ \end{gathered}

⟼x=−

35

120

\begin{gathered}\longmapsto \sf \:x = - \frac{24}{7} \\ \end{gathered}

⟼x=−

7

24

•°• Other number is -24/7 .

Verification:-

-24/7 × -5/48 = 20/56

120/336 = 20/56

20/56 = 20/56

[ °•° 120/336 = 20/56 , By multiples of 6]

Hence Verified !!

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