Math, asked by prasadchitragupt, 9 months ago

subtract the first rational numbers from the second in each of the following pairs.
a.-2/3,6/7
b.3/-11,-1/11
c.-4/-7,3/-7
give me all answer I will mark you as a brainlist ​

Answers

Answered by Anonymous
4

\huge\mathfrak\blue{Answer:}

Rational Number:

  • Rational Number are the numbers that can be written in the form of a/b where a and B are integers and b is not equal to zero
  • For ex : 2/3 , 3/5 , 5/7 etc

Solution:

We have to subtract the given rational number from one another

\odot \: \boxed{\sf{Subtracting \: \dfrac{-2}{3} \: from \: \dfrac{6}{7}}}

  • \mapsto \sf{\dfrac{6}{7} - \left ( \dfrac{-2}{3} \right ) }

  • \mapsto \sf{\dfrac{6}{7} + \dfrac{2}{3} }

  • Taking LCM on RHS

  • \mapsto \sf{\dfrac{6 \times 3 + 2 \times 7}{21} }

  • \mapsto \sf{\dfrac{18 + 14}{21} }

  • \mapsto \sf{\dfrac{32}{21} \: \: }

\sf{  }

Moving to the next Question which is :

\odot \: \boxed{\sf{Subtracting \: \dfrac{3}{-11} \: from \: \dfrac{-1}{11}}}

  • \mapsto \sf{\left ( - \dfrac{1}{11} \right ) - \left ( -\dfrac{3}{11} \right ) }

  • \mapsto \sf{\dfrac{3}{11} -  \dfrac{1}{11} }

  • \mapsto \sf{\dfrac{2}{11} \: \: }

\sf{  }

Moving to the next Question which is :

\odot \: \boxed{\sf{Subtracting \: \dfrac{-4}{-7} \: from \: \dfrac{3}{-7}}}

  • \mapsto \sf{\left ( \dfrac{3}{-7} \right ) - \left (\dfrac{-4}{-7} \right ) }

  • \mapsto \sf{\dfrac{3}{7} -\dfrac{4}{7} }

  • \mapsto \sf{-\dfrac{1}{7} \:  \: }

___________________________

\large\purple{\underline{\underline{\sf{Extra \: Information:}}}}

  • All whole numbers are rational numbers
  • All integer are rational numbers
  • All decimal number are rational numbers.
  • All Fractional number are rational numbers
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