The product of two rational numbers is 20/56. If one of the numbers is -5/48,find the other, About the author Adalyn
Step-by-step explanation: Step-by-step explanation: __________________ \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 !! __________________ Reply
Step-by-step explanation: __________________ [tex] \maltese \: \large \underline{ \bf{Answer :-}}[/tex] 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 [tex] \longmapsto \sf \: (x) \times \left( \dfrac{ – 5}{48} \right ) = \frac{20}{56} \\ [/tex] [tex]\longmapsto \sf \: \frac{ – 5x}{48} = \frac{20}{56} \\ [/tex] [tex]\longmapsto \sf \: – 5x = \frac{20}{56} \times 48 \\ [/tex] [tex]\longmapsto \sf \: – 5x = \frac{20}{7} \times 6 \\ [/tex] [tex]\longmapsto \sf \: – 5x = \frac{120}{7} \\ [/tex] [tex]\longmapsto \sf \:x = – \frac{120}{7 \times 5} \\ [/tex] [tex]\longmapsto \sf \:x = – \frac{120}{35} \\ [/tex] [tex]\longmapsto \sf \:x = – \frac{24}{7} \\ [/tex] •°• 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 !! __________________ Reply
Step-by-step explanation:
Step-by-step explanation:
__________________
\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 !!
__________________
Step-by-step explanation:
__________________
[tex] \maltese \: \large \underline{ \bf{Answer :-}}[/tex]
Given :
To Find :
Solution :
Let us assume that other number be “x”.
Now,
According to question,
Product of two rational numbers is 20/56
[tex] \longmapsto \sf \: (x) \times \left( \dfrac{ – 5}{48} \right ) = \frac{20}{56} \\ [/tex]
[tex]\longmapsto \sf \: \frac{ – 5x}{48} = \frac{20}{56} \\ [/tex]
[tex]\longmapsto \sf \: – 5x = \frac{20}{56} \times 48 \\ [/tex]
[tex]\longmapsto \sf \: – 5x = \frac{20}{7} \times 6 \\ [/tex]
[tex]\longmapsto \sf \: – 5x = \frac{120}{7} \\ [/tex]
[tex]\longmapsto \sf \:x = – \frac{120}{7 \times 5} \\ [/tex]
[tex]\longmapsto \sf \:x = – \frac{120}{35} \\ [/tex]
[tex]\longmapsto \sf \:x = – \frac{24}{7} \\ [/tex]
•°• 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 !!
__________________