Question

find three rational numbers between. (1)3/4,1/2 (2)-3/2,-3/4​

Answer 1

➤ Answer :-

${\tt \longrightarrow \dfrac{3}{4} \: ; \: \dfrac{1}{2}}$

Convert them into like fractions by taking any common multiple of the denominators i.e, 4 and 2...........

Common multiple of 4 and 2 is 24.

${\tt \longrightarrow \dfrac{3 \times 6}{4 \times 6} \: ; \: \dfrac{1 \times 12}{2 \times 12}}$

${\tt \longrightarrow \dfrac{18}{24} \: ; \: \dfrac{12}{24}}$

Now three rational numbers between them are

${\tt \longrightarrow \boxed{\tt \dfrac{13}{24} \: ; \: \dfrac{14}{24} \: ; \: \dfrac{15}{24}}}$

━━━━━━━━━━━━━━━━━━━━━━━

${\tt \longrightarrow \dfrac{( - 3)}{2} \: ; \: \dfrac{( - 3)}{4}}$

Convert them into like fractions by taking any common multiple of the denominators i.e, 2 and 4.............

Common multiple of 2 and 4 is 4.

${\tt \longrightarrow \dfrac{( - 3) \times 12}{2 \times 12} \: ; \: \dfrac{( - 3) \times 6}{4 \times 6}}$

${\tt \longrightarrow \dfrac{( - 36)}{24} \: ; \: \dfrac{( - 18)}{24}}$

Now three rational numbers between them are

${\tt \longrightarrow \boxed{\tt \dfrac{( - 19)}{24} \: ; \: \dfrac{( - 20)}{24} \: ; \: \dfrac{( - 21)}{24}}}$

━━━━━━━━━━━━━━━━━━━━━━━

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

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