Math, asked by shakeelkhan41629, 1 month ago

find two rational numbers between 1/2 and 3/4? photos​

Answers

Answered by likithsunku
0

Answer:

To find the rational numbers between 1/2 and 3/4 let us first equate the denominators

(1/2) (2/2) = 2/4

(3/4)(1/1)=3/4

Now we have 2/4 and 3/4

Now will multiply both the fractions Numerator and denominator by 10. We get

20/40 and 30/40

Hence will find rational numbers now between 20/40 and 30/40

The rational numbers are 21/40. 22/40, 23/40, 24/40,25/40,26/40 and so on.

Answered by BrainlyCloud
30

\underline{\large{\sf{\blue{Given:}}}}

  • We have been given two Rational numbers 1/2 and 3/4

\underline{\large{\sf{\blue{To \: Find:}}}}

  • We have to find two rational numbers between 1/2 and 3/4

\underline{\large{\sf{\blue{Requirements:}}}}

  • Rational Numbers are the numbers that can be represented in the form of a/b where a and b are integers and b is not equal to zero
  • Example : 1/2 , 3/2 , 5 etc

\underline{\large{\sf{\blue{Solution:}}}}

We have been given two rational numbers 1/2 and 3/4 and we have to find two rational number between them

Making the Denominator of Both number same

☞ Multiplying 2/2 in 1/2

\longmapsto \sf{\dfrac{1}{2}\times \dfrac{2}{2} = \dfrac{2}{4}}

Rule :

  • If we have to find n Rational number between them , then we will multiply and divide both terms by (n+1)

\\

As we have to find 2 Ratinonal numbers Dividing and Multiplying by 3 to both the numbers

\longmapsto \sf{\dfrac{2}{4} \times \dfrac{3}{3} =  \dfrac{6}{12}}

\longmapsto \sf{\dfrac{3}{4} \times \dfrac{3}{3} = \dfrac{9}{12}}

Hence , Two Rational numbers between

\underline{\boxed{\sf{\blue{\dfrac{7}{12}, \dfrac{8}{12}}}}}

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

  • All integers are Rational Numbers
  • All whole numbers are Rational Numbers
  • All Fractional numbers are Rational Numbers
  • All Decimal Numbers are Rational Numbers
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