Question

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

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

Answer 1

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.)

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

$\displaystyle \sf{Decide \: the \: orderly \: relationship \: between \: \: \frac{5}{4} \: and \: \frac{11}{12} }$

$\displaystyle \sf{1.\: \frac{5}{4} \: > \: \frac{11}{12} }$

$\displaystyle \sf{2.\: \frac{5}{4} \: < \: \frac{11}{12} }$

$\displaystyle \sf{3.\: \frac{5}{4} \: = \: \frac{11}{12} }$

EVALUATION

STEP : 1

Write down the given numbers

The given numbers are

$\displaystyle \sf{ \frac{5}{4} \: and \: \frac{11}{12} }$

STEP : 2

Convert them into the fractions with same denominator

The denominators are 4 and 12

LCM of 4 and 12 = 12

$\displaystyle \sf{\frac{5}{4} = \frac{5 \times 3}{4 \times 3} = \frac{15}{12} }$

$\displaystyle \sf{\frac{11}{12} = \frac{11\times 1}{12 \times 1} = \frac{11}{12} }$

STEP : 3

Now check the relationship

Now 15 > 11

$\displaystyle \sf{ \implies \: \frac{15}{12} \: > \: \frac{11}{12} }$

$\displaystyle \sf{ \implies \: \frac{5}{4} \: > \: \frac{11}{12} }$

FINAL ANSWER

Hence the correct option is

$\displaystyle \sf{1. \: \: \: \frac{5}{4} \: > \: \frac{11}{12} }$

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