Question

arrange the follwing in assending order 2/9 2/3 8/21m​

Answer 1

➤ Answer :-

${\tt \longrightarrow \dfrac{2}{9} \: ; \: \dfrac{2}{3} \: ; \: \dfrac{8}{21}}$

Convert them into like fractions by taking the LCM of the denominators i.e, 9,3 and 21.

LCM of 9,3 and 21 is 63.

${\tt \longrightarrow \dfrac{2 \times 7}{9 \times 7} \: ; \: \dfrac{2 \times 21}{3 \times 21} \: ; \: \dfrac{8 \times 3}{21 \times 3}}$

${\tt \longrightarrow \dfrac{14}{63} \: ; \: \dfrac{42}{63} \: ; \: \dfrac{24}{63}}$

Now,

Ascending order :-

${\tt \longrightarrow \dfrac{14}{63} \: \boxed{ < } \: \dfrac{24}{63} \: \boxed{ < } \: \dfrac{42}{63}}$

When converted into lowest form :-

${\tt \longrightarrow \boxed{\tt \dfrac{2}{9} \: \boxed{ < } \: \dfrac{8}{21} \: \boxed{ < } \: \dfrac{2}{3}}}$

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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.