Question

Find three rational number between:4/13 and 5/4?​

Answer 1

21/65,22/65,23/65 are rational numbers

Answer 2

$\huge\mathfrak\blue{Answer:}$

Rational Numbers:

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

Given:

• We have been given two rational numbers 4/13 and 5/4

To Find:

• We have to find 3 rational numbers between 4/13 and 5/4

Solution:

Given 2 Rational Numbers 3/5 and 4/5

$\odot \:$ Steps :

• The denominator must be Equal of both Rational numbers if not make them equal
• Multiply and Divide both Rational numbers by ( n + 1 ) if we have to find n rational numbers

$\sf{ }$

Suppose we have to find 3 Rational numbers so multiplying and dividing by 16 to 4/13 and 52 to 5/4

$\odot \:$Multiplying 16/16 to 4/13

$\implies \sf{\dfrac{4}{13} \times \dfrac{16}{16}}$

$\implies \sf{\dfrac{64}{208} }$

$\odot \:$Multiplying 52/52 to 5/4

$\implies \sf{\dfrac{5}{4} \times \dfrac{52}{52}}$

$\implies \sf{\dfrac{260}{25} }$

Rational Number are as follows :

$\sf{\bold{\dfrac{61}{208} , \dfrac{62}{208} , \dfrac{63}{208}}}$

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$\huge\underline{\sf{\red{A}\orange{n}\green{s}\pink{w}\blue{e}\purple{r}}}$

Rational Number between 4/13 and 5/4

$\large\boxed{\sf{\dfrac{61}{208} , \dfrac{62}{208} , \dfrac{63}{208} }}$

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

• All whole numbers are rational numbers
• All integers are rational numbers
• All decimal numbers are rational numbers
• All fractional numbers are rational numbers