Question

arrange in descending order 3/8,4/7,11/16,5/9​

Answer 1

ɢɪᴠᴇɴ:

• arrange in descending order 3/8, 4/7, 11/16, 5/9

ꜱᴛᴇᴩꜱ ᴛᴏ ꜱᴏʟᴠᴇ:

1. Take LCM of the denominators of each fraction.
2. After taking out LCM, Multiply the denominators by such a number that the denominators become same.
3. Now, Compare them and put them in Descending order.

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⠀⠀⠀⠀ꜱᴛᴇᴩ ʙy ꜱᴛᴇᴩ ꜱᴏʟᴜᴛɪᴏɴ:

⋆ ${\bf{LCM~of~8,7,16,9~=~ 1008}}$

$~~~~~~~~~$ $\sf \dashrightarrow$ $\sf \frac{3}{8} \times \frac{126}{126} = \dfrac{378}{1008}$

⠀

$~~~~~~~~~$ $\sf \dashrightarrow$ $\sf \frac{4}{7} \times \frac{144}{144} = \dfrac{576}{1008}$

⠀

$~~~~~~~~~$ $\sf \dashrightarrow$ $\sf \frac{11}{16} \times \frac{63}{63} = \dfrac{693}{1008}$

⠀

$~~~~~~~~~$ $\sf \dashrightarrow$ $\sf \frac{5}{9} \times \frac{112}{112} = \dfrac{560}{1008}$

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⋆ ${\bf{Arranging~In~Descending~Order}}$

$\sf \frac{378}{1008}$ , $\sf \frac{576}{1008}$ , $\sf \frac{693}{1008}$ , $\sf \frac{560}{1008}$

$\sf \dashrightarrow$ $\sf \frac{693}{1008}$ > $\sf \frac{576}{1008}$ > $\sf \frac{560}{1008}$ > $\sf \frac{378}{1008}$

⋆ ${\bf{In~Lowest~Form}}$

$\sf \dashrightarrow$ $\sf \dfrac{11}{16}$ > $\sf \dfrac{4}{7}$ > $\sf \dfrac{5}{9}$ > $\sf \dfrac{3}{8}$

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Answer 2

Question:

Arrange In Descending Order $\sf { \frac{3}{8}} , \frac{4}{7}, \frac{11}{16}, \frac{5}{9}$

Solution:

Firstly , We Will See The Denominator Of Given Fractions and Take L.C.M. of the denominators

8,7,16,9 = L.C.M.

1008 = L.C.M.

Now,

We Will Equal The Denominators Of All Given Fractions.

So,

$\longmapsto \sf{ \frac{3}{8} \times 126 } = \frac{378}{1008} \\ \\ \sf{ \longmapsto \frac{4}{7} \times 144 = \frac{576}{1008} }\\ \\ \sf{ \longmapsto \frac{11}{16} \times 63 = \frac{693}{1008} } \\ \\ \sf{ \longmapsto \frac{5}{9} \times 112 = \frac{560}{1008} }$

Now,

We Can Arrange This Is Descending Order.

$:\implies\sf{\frac{693}{1008}} < \frac{576}{1008} < \frac{560}{1008} < \frac{378}{1008}$

Final Answer:

$:\implies\sf{\frac{693}{1008}} < \frac{576}{1008} < \frac{560}{1008} < \frac{378}{1008} \\ \\ \bf{ \huge OR} \\ \\ \sf{ : \implies\frac{11}{16} < \frac{4}{7} < \frac{5}{9} < \frac{3}{8} }$