Math, asked by leenakhan696, 1 month ago

arrange the following rational number n ascending order: 1/3,5/8,23/24,5/6​

Answers

Answered by yogeeshwarantn1971
3

Answer:

the answer is in the above image.

hope it helps you!!!

Attachments:
Answered by MasterDhruva
3

➤ Answer :-

{\tt \longrightarrow \dfrac{1}{3} \: ; \: \dfrac{5}{8} \: ; \: \dfrac{23}{24} \: ; \: \dfrac{5}{6}}

Convert them into like fractions by taking the LCM of the denominators i.e, 3,8,24 and 6

LCM of 3,8,24 and 6 is 24.

{\tt \longrightarrow \dfrac{1 \times 8}{3 \times 8} \: ; \: \dfrac{5 \times 3}{8 \times 3} \: ; \: \dfrac{23}{24} \: ; \: \dfrac{5 \times 4}{6 \times 4}}

{\tt \longrightarrow \dfrac{8}{24} \: ; \: \dfrac{15}{24} \: ; \: \dfrac{23}{24} \: ; \: \dfrac{20}{24}}

Now,

Ascending order :-

{\tt \longrightarrow \dfrac{8}{24} \: \boxed{<} \: \dfrac{15}{24} \: \boxed{<} \: \dfrac{20}{24} \: \boxed{<} \: \dfrac{23}{24}}

When converted into lowest form :-

{\tt \longrightarrow \boxed{\tt \dfrac{1}{3} \: \boxed{<} \: \dfrac{5}{8} \: \boxed{<} \: \dfrac{5}{6} \: \boxed{<} \: \dfrac{23}{24}}}

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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.
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