Math, asked by kalukuriramesh00, 3 months ago

3/4,3/2,2/3,1/5,18/7 in ascending order with excellent explain​

Answers

Answered by MrImpeccable
51

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To do:

  • Arrange in ascending order.

Solution:

 \displaystyle \implies \dfrac{3}{4}, \dfrac{3}{2}, \dfrac{2}{3}, \dfrac{1}{5}, \dfrac{18}{7} \\ \\ \text{To compare them, we need to make all have same denominator.} \\ \\ \text{LCM of 4, 2, 3, 5, 7 => 420} \\ \\ \implies \dfrac{315}{420} \left(\dfrac{3}{4}\right), \dfrac{630}{420} \left(\dfrac{3}{2}\right) , \dfrac{280}{420} \left(\dfrac{2}{3}\right) , \dfrac{84}{420} \left(\dfrac{1}{5}\right),  \dfrac{1080}{420} \left(\dfrac{18}{7}\right) \\ \\ \text{As the denominators are same we can compare the numerators,} \\ \\ \implies 315, 630, 280, 84, 1080 \\ \\ \implies 84<280<315<630<1080 \\ \\ \implies \dfrac{84}{420} < \dfrac{280}{420} < \dfrac{315}{420} < \dfrac{630}{420} < \dfrac{1080}{420} \\ \\ \implies \dfrac{1}{5} < \dfrac{2}{3} < \dfrac{3}{4} < \dfrac{3}{2} < \dfrac{18}{7} \\ \\ \\ HOPE\:IT\:HELPS

Answered by hiyike7811
11
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