Question

The least among the fraction 15/16,19/20,24/25,34/35 is

Answer 1

15/16 is least among the fraction

Answer 2

$Given \: fractions \: \frac{15}{16} , \frac{19}{20} ,\frac{24}{25} ,\frac{34}{35}$

$\underline { Find \:the \: L.C.M \:of \: denominators : }$

4| 16, 20, 25, 35

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5| 4, 5 , 25 , 35

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5| 4, 1 , 5, 7

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$LCM = 4 \times 5 \times 5 \times 4 \times 5 \times 7 \\= 2800$

$\frac{15 \times 175}{16\times 175} , \frac{19 \times 140}{20\times 140} , \frac{24 \times 112}{25\times 112} , \frac{34 \times 80}{35\times 80}$

$\implies \frac{2625}{2800} ,\frac{2660}{2800} ,\frac{2688}{2800} ,\frac{2720}{2800}$

$2625 <2660<2688<2720$

Therefore.,

$\red{Least \: number \: among \: fractions \:is }\\\green { \: \: \frac{15}{16} }$

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