Question

simplify (5/9 + 2/3)+(5/2+1/4)​

Answer 1

Step-by-step explanation:

(5/9+2/3)+(5/2+1/4)

take LCM

(5+6/9)+(10+1/4)

(11/9)+(11/4)

take LCM again

44+99/36

143/36

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Answer 2

Step-by-step explanation:

Given that

$( \frac{5}{9} + \frac{2}{3} ) + ( \frac{5}{2} + \frac{1}{4} )$

To simplify it

Solution

LCM of 9 and 3 is 9

LCM of 2 and 4 is 4

hence

$( \frac{5 \times 1 + 2 \times 3}{9}) + ( \frac{5 \times 2 + 1 \times 1}{4} )$

now by multiplication and addition we get

$\frac{11}{9} + \frac{11}{4}$

LCM of 9 and 4 is 36.

$\frac{11 \times 4 + 11 \times 9}{36}$

by multiplication

$\frac{44 + 99}{36}$

by addition we get

$\frac{143}{36}$