Question

ANSWER THE ATTACHED Q11&12

Answer 1

11. Better to find the common denominator first - i.e. the number that can be divided by 5, 3, and 6. It’s 30.

4/5 = 24/30

2/3 = 20/30

5/6 = 25/30

Add the top numbers and you get 69.

69/3 = 23

The average is 23/30.

12. lcm of both the denominator = 21

therefore, 1st no = 12/21

2nd no= 16/21

by comparing we get: 16/21

Answer 2

Required Answer:-

$\large \sf{ \red{ \underline{question \: 11}}}$

$\large \longmapsto \sf{ \frac{4}{5} + \frac{2}{3} + \frac{5}{6}}$

L.C.M of 5, 3, and 6 = 30

$\sf \longmapsto{ \frac{(6 \times 4) + (10 + 2) + (5 \times 5)}{30}}$

$\large \sf{ = \frac{24 + 20 + 25}{30}}$

$\large{ \underline{ \boxed{ \pink{ \frac{69}{30}}}}} \star$

Average :-

$\large \dashrightarrow \sf{ \frac{69}{30} \div \frac{3}{1}}$

$\large \sf \dashrightarrow{ \frac{69}{30} \times \frac{1}{3}}$

$\large \sf \dashrightarrow{ \cancel \frac{69}{90}} \: \: \: \: \: \frac{23}{30}$

$\large \sf{ \underline{ \boxed{ \red{ = \frac{23}{30}}}}} \star$

$\huge \sf{ \underline{ \blue{question \: 12}}}$

$\large \sf\frac{4}{ - 7} \: or \: \frac{ - 16}{21}$

$\sf{ \red{L.C.M \: of \: 7 \: and \: 21 \: is \: 21}}$

$\large \sf{ \frac{84}{21} \: , \frac{112}{21}}$

$\sf \pink{Hence \: \frac{ - 16}{21} \: is \: greater.}$

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Extra Knowledge :-

• A number of the form $\sf\dfrac{p}{q}$ is called a fraction, if p and q are natural numbers. If p and q are integers and q ≠ 0, then it is said to be a Rational number.