Question

Find five rational numbers between 3/5 and 1/2​

Answer 1

Answer:

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Answer 2

Given:

• Two numbers ⅗ and ½.

To Find:

• Five Rational numbers between them.

Steps of solving:

• We will first convert the fractions to like fractions i.e. fractions with same denominator.
• Secondly we will multiply the numerator and denominator of fractions by 6 i.e. number one more than the number of rational numbers we are required to find.
• Then we will can easily find the required numbers.

Answer:

Given fraction are ⅗ and ½ .

Now ,

$\sf{\leadsto \dfrac{3}{5}=\dfrac{3\times2}{5\times2}=\dfrac{6}{10}}$

$\sf{\leadsto \dfrac{1}{2}=\dfrac{1\times5}{2\times5}=\dfrac{5}{10}}$

And ,

$\sf{\longmapsto\dfrac{6}{10}=\dfrac{6\times6}{10\times6}=\dfrac{36}{60}}$

$\sf{\leadsto \dfrac{5}{10}=\dfrac{5\times6}{10\times6}=\dfrac{30}{60}}$

Hence five Rational numbers are ;

$\bf{\dfrac{31}{36},\dfrac{32}{36},\dfrac{33}{36},\dfrac{34}{36},\dfrac{35}{36}}$

$\red{\bf{\leadsto \dfrac{31}{36},\dfrac{8}{9},\dfrac{11}{12},\dfrac{17}{18},\dfrac{35}{36}}}$