Question

decide the orderly relationship between 5/4 and 11/12 (1)5/4 (2) 5/4 >11/12 (2)5/4 <11/2 (3)5/4=11/12​

Answer 1

Answer:

(2) 5/4>11/12

answer i5/4>11/12

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

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

$\displaystyle \sf{1.\: \frac{5}{4} \: &gt; \: \frac{11}{12} }$

$\displaystyle \sf{2.\: \frac{5}{4} \: &lt; \: \frac{11}{12} }$

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

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

$\displaystyle \sf{ \implies \: \frac{15}{12} \: &gt; \: \frac{11}{12} }$

$\displaystyle \sf{ \implies \: \frac{5}{4} \: &gt; \: \frac{11}{12} }$

FINAL ANSWER

Hence the correct option is $\displaystyle \sf{1. \: \: \: \frac{5}{4} \: &gt; \: \frac{11}{12} }$

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