Question

here are 4 fractions labelled ABCD which one is the smallest fraction 3/4 , 5/6, 16/25 , 9/15

Answer 1

I hope it will helps you

Answer 2

$Given \:A = \frac{3}{4} , \: B = \frac{5}{6}$

$C = \frac{16}{25} \:and \: D = \frac{9}{15}$

$Find \: the \: LCM \: of \: denominators ,we \:get$

2 | 4,6,25,15

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3| 2 , 3 , 25 ,15

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5| 2, 1 , 25 , 5

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**2 , 1 , 5 , 1

L.C.M ( 4,6,25,15 ) = 2×3×5×2×5 = 300

$1 ) A = \frac{3}{4}$

$= \frac{3\times 75}{ 4 \times 75}$

$= \frac{225}{300}$

$2) B = \frac{5}{6}$

$= \frac{5\times 50}{ 6 \times 50}$

$= \frac{250}{300}$

$3) C = \frac{16}{25}$

$= \frac{16\times 12}{ 25\times 12}$

$= \frac{192}{300}$

$4 ) D = \frac{9}{15}$

$= \frac{9\times 20}{ 15 \times 20}$

$= \frac{180}{300}$

$\therefore \frac{180}{300}\lt \frac{192}{300}\lt \frac{225}{300} \lt \frac{250}{300}$

$\blue { \frac{9}{15}\lt \frac{16}{25}\lt \frac{3}{4} \lt \frac{5}{6} }$

$\pink{ D \lt C \lt A \lt B }$

Therefore.,

$\red{ Smallest \: fraction}\green{ \:is \: \frac{9}{15}}$

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