Question

8/9+196/324 please tell me the answer spammers will be reported and permanently blocked ​

Answer 1

Answer:

121/81

Step-by-step explanation:

8/9 + 196/324

=8/9 + 49/81

= (72+49)/81

= 121/81

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Answer 2

To find :

$\frac{8}{9} + \frac{196}{324}$

Solution :

• We see that the second term contains an even number, both in the numerator and denominator, which implies that the fraction can be reduced further.

• So, the simplest form of $\frac{196}{324} \ is \ \frac{49}{81} .$.

• Now,$\frac{8}{9} + \frac{49}{81}$ can be added by the following steps (refer to the image attached below for calculations) :

$(i) \ The\ L.C.M. \ of \ 9 \ and\ 81 \ is\ calculated,\ which\ is \ found\ to\ be \ 81.$

$\\ (ii) Then,\ the L.C.M. \ is \ divided\ by \ the \ denominator \ of \ each \ fraction,\\\\ \frac{81}{9} = 9, \ \frac{81}{81} = 1$$\\ The \ quotient \ is\ multiplied\ by \ the\ numerator \ and\ the \ denominator\ in \ each\ fraction,\\\\ \frac{8*9}{9*9} = \frac{72}{81} \\\\ \frac{49*1}{81*1} = \frac{49}{81}$

$(iii)\ The\ fractions \ \frac{72}{81} \ and \ \frac{49}{81} \ are\ finally\ added,\\\\ \frac{72}{81} + \frac{49}{81} \\\\ = \frac{(72+49)}{81} \\\\ = \frac{121}{81} \\\\ = 1\frac{40}{81}$.

∴  The value of $\frac{8}{9} + \frac{196}{324} \ is \ 1\frac{40}{81} .$