*Decide the orderly relationship between 5/4 & 11/12 .*

1️⃣ 5/4 > 11/12
2️⃣ 5/4 < 11/12
3️⃣ 5/4 = 1

2 thoughts on “*Decide the orderly relationship between 5/4 & 11/12 .*<br /><br />1️⃣ 5/4 > 11/12<br />2️⃣ 5/4 < 11/12<br />3️⃣ 5/4 = 1”

1. SOLUTION

   TO CHOOSE THE CORRECT OPTION

   [tex] \displaystyle \sf{Decide \: the \: orderly \: relationship \: between \: \: \frac{5}{4} \: and \: \frac{11}{12} }[/tex]

   [tex] \displaystyle \sf{1.\: \frac{5}{4} \: > \: \frac{11}{12} }[/tex]

   [tex] \displaystyle \sf{2.\: \frac{5}{4} \: < \: \frac{11}{12} }[/tex]

   [tex] \displaystyle \sf{3.\: \frac{5}{4} \: = \: \frac{11}{12} }[/tex]

   EVALUATION

   STEP : 1

   Write down the given numbers

   The given numbers are

   [tex] \displaystyle \sf{ \frac{5}{4} \: and \: \frac{11}{12} }[/tex]

   STEP : 2

   Convert them into the fractions with same denominator

   The denominators are 4 and 12

   LCM of 4 and 12 = 12

   [tex] \displaystyle \sf{\frac{5}{4} = \frac{5 \times 3}{4 \times 3} = \frac{15}{12} }[/tex]

   [tex] \displaystyle \sf{\frac{11}{12} = \frac{11\times 1}{12 \times 1} = \frac{11}{12} }[/tex]

   STEP : 3

   Now check the relationship

   Now 15 > 11

   [tex] \displaystyle \sf{ \implies \: \frac{15}{12} \: > \: \frac{11}{12} }[/tex]

   [tex] \displaystyle \sf{ \implies \: \frac{5}{4} \: > \: \frac{11}{12} }[/tex]

   FINAL ANSWER

   Hence the correct option is

   [tex] \displaystyle \sf{1. \: \: \: \frac{5}{4} \: > \: \frac{11}{12} }[/tex]

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   Reply

2. Question :– Decide the orderly relationship between 5/4 & 11/12 .*

   1) 5/4 > 11/12

   2) 5/4 < 11/12

   3) 5/4 = 11/12

   Solution :–

   → 5/4 and 11/12

   making both denominator same ,

   • 5/4 = multiply and divide by 3
   • 11/12 = multiply and divide by 1 .

   we get,

   → (5/4) * (3/3) and (11/12) * (1/1)

   → (15 / 12) and (11/12)

   since,

   → 15 > 12 .

   therefore,

   → (15/12) > (11/12)

   or, we can conclude that,

   → 5/4 > 11/12 (Option 1) (Ans.)

   Reply