Question

(1) Find three rational numbers between and 1/2 and 1/3.​

Answer 1

Answer:

••••••••••••Three rational numbers between 1/3 and 1/2 making the denominator same: 1/3=8/24(equivalent fraction) 1/2=12/24(also equivalent fraction). Three rational numbers between 8/24 and 12/24 are: 9/24,10/24,11/24.••••••••••••••

Answer 2

➤ Answer :-

${\tt \longrightarrow \dfrac{1}{2} \: ; \: \dfrac{1}{3} }$

Convert them into like fractions by taking the common multiple of the denominators i.e, 2 and 3.

${ \tt \longrightarrow \dfrac{1 \times 15}{2 \times 15} \: ; \: \dfrac{1 \times 10}{3 \times 10} }$

${\tt \longrightarrow \dfrac{15}{30} \: ; \: \dfrac{10}{30} }$

Now, we can find rational numbers between them

Rational numbers between them are :-

${\tt \longrightarrow \boxed{ \tt \dfrac{11}{30} \: ; \: \dfrac{12}{30} \: ; \: \dfrac{13}{30} }}$

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More to know..................

• While comparing, arranging the fractions in ascending and descending order or finding rational numbers between two fractions, if the given fractions are having different denominators i.e, if they are unlike fractions, we should convert them to like fractions by taking the LCM of the denominators.
• If the denominators are same i.e if they are like fractions, we can solve those problems easily by looking to numerators.