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Which of the following fractions is greater than ³/₄ and less than ⁵/₆ ?

1¹/₂
2²/₃
3⁴/₅
4⁹/₁₀

Answer:- 1

Explanation:-

Solution:

\begin{aligned} \frac{3}{4} = 0.75, \frac{5}{6} = 0.833, \frac{1}{2} = 0.5, \\ \frac{2}{3} = 0.66, \frac{4}{5} = 0.8, \frac{9}{10} = 0.9 \\ Clearly, 0.8 lies between 0.75 and 0.833 \\ ∴ \frac{4}{5} lies between \frac{3}{4} and \frac{5}{6} \end{aligned}

$\eqalign{ & \frac{3}{4} = 0.75,\,\,\,\frac{5}{6} = 0.833,\,\,\,\frac{1}{2} = 0.5, \cr & \frac{2}{3} = 0.66,\,\,\,\frac{4}{5} = 0.8,\,\,\,\,\,\,\,\,\frac{9}{{10}} = 0.9 \cr & {\text{Clearly}},\,0.8\,{\text{lies}}\,{\text{between}}\,0.75\,{\text{and}}\,0.833 \cr & \therefore \frac{4}{5}\,{\text{lies}}\,{\text{between}}\,\frac{3}{4}\,{\text{and}}\,\frac{5}{6} \cr}$

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", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} \frac{3}{4} = 0.75, \frac{5}{6} = 0.833, \frac{1}{2} = 0.5, \\ \frac{2}{3} = 0.66, \frac{4}{5} = 0.8, \frac{9}{10} = 0.9 \\ Clearly, 0.8 lies between 0.75 and 0.833 \\ ∴ \frac{4}{5} lies between \frac{3}{4} and \frac{5}{6} \end{aligned}

$\eqalign{ & \frac{3}{4} = 0.75,\,\,\,\frac{5}{6} = 0.833,\,\,\,\frac{1}{2} = 0.5, \cr & \frac{2}{3} = 0.66,\,\,\,\frac{4}{5} = 0.8,\,\,\,\,\,\,\,\,\frac{9}{{10}} = 0.9 \cr & {\text{Clearly}},\,0.8\,{\text{lies}}\,{\text{between}}\,0.75\,{\text{and}}\,0.833 \cr & \therefore \frac{4}{5}\,{\text{lies}}\,{\text{between}}\,\frac{3}{4}\,{\text{and}}\,\frac{5}{6} \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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