Question

the product of 2 rational numbers is -3/7. if one of the numbers is 5 /21 , find other​

Answer 1

$\huge\bold{\texttt { \red{Answer↓↓↓} }}$

$\huge\bold{\texttt { \blue{Solution} }}$

$\color{Purple}{\large\underline{\underline\mathtt{Product \ of \ two \ numbers:}}}$(-3)/7

$\color{Purple}{\large\underline{\underline\mathtt{Given \ number:}}}$5/21

⠀⠀⠀⠀$\color{purple}{\large\underline{\underline\mathtt{:.The \ other \ number}}}$=

$\huge\bold{\texttt { \blue{Step\: 1} }}$

(-3)/7÷5/21

$\small\bold{\texttt { \blue{Step\: 2} }}$

(-3)/7÷21/5

$\small\bold{\texttt { \blue{Step\: 3} }}$

(-3)÷3/5

$\small\bold{\texttt { \blue{final\: answer} }}$

-3/5

$\small\bold\green{Varifying}$

-3/5×5/21

=>15/105

=>(-3)/7

$\color{Purple}{\large\underline{\underline\mathtt{Additional \ imformation↓↓↓}}}$

What is rational number?

A rational number is any number that can be named in tge form of a/b where a and b are integers and b ≠0.

➖▶Points to note:-

1) Every natural number is a rational number but a rational number need not be a natural nunber.

• We can write 1=1/1,2=2/1,3=3/1 and so on.
• This shows that every natural number n can be written as n/1 which is a rational number
• But none if the rational numbers lije 5/7,3/8,etc is a natural number.

2) Zero is a rational number.

• We can write 0 is anyone of the forms 0/1,0/-1,0/2,and so on.
• Thus zero can be expressed as p/q,where p=0 and q is any non-zero integer.
• Hence,0 is a rational number.

Multiplication of rational numbers

Product of two rational numbers=Product of the numerator/product of denominator

Thus, if a/b and c/d are two rational numbers,then a/b×c/d=a×c/b×d.

Devision of rational Numbers

You know that division is the inverse of multiplication. Also if a and b are integers such that b≠0 then a÷b is defined as a÷b=a×(reciprocal of b)=a×1/b.

hope it helped u buddy...

Thank you...☺❤

Answer 2

Answer:

Solution

Product of two numbers:

(-3)/7

Given number:

5/21

⠀⠀⠀⠀

:.The other number

=

Step1

(-3)/7÷5/21

Step2

(-3)/7÷21/5

Step3

(-3)÷3/5

final answer

-3/5

Varifying

-3/5×5/21

=>15/105

=>(-3)/7