Question

find the sum :-
2/9+5/6​

Answer 1

Answer:

19/18

Step-by-step explanation:

Step 1

Of course, you can't add two fractions if the denominators (bottom numbers) don't match. To get a common denominator, multiply the denominators together. Then we fix the numerators by multiplying each one by their other term's denominator.

Now you multiply 2 by 6, and get 12, then we multiply 9 by 6 and get 54.

Do the same for the second term. We multiply 5 by 9, and get 45, then multiply 9 by 6 and get 54.

The problem now has new fractions to add:

12 /54 +45 /54

Step 2

Since our denominators match, we can add the numerators.

12 + 45 = 57

The sum we get is

57 /54

Step 3

The last step is to reduce the fraction if we can.

To find out, we try dividing it by 2...

Nope. Try the next prime number, 3...

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

57 /54 ÷ 3 =19 /18

Now, try the same number again.

Nope. Try the next prime number, 5...

Nope. Try the next prime number, 7...

Nope. Try the next prime number, 11...

Nope. Try the next prime number, 13...

Nope. Try the next prime number, 17...

Nope. Try the next prime number, 19...

No good. 19 is larger than 18. So we're done reducing.

Congratulations! Here's your final answer to 2/9 + 5/6=19/18

Answer 2

Answer:

=> The sum of $\frac{2}{9}+\frac{5}{6}$ will be $\frac{19}{18}$.

Step-by-step explanation:

In context to the question asked,

We have to find the sum of the given fraction,

As per data given in the question,

We have,

$\frac{2}{9}+\frac{5}{6}$

To find the sum of given fractions, we must first equalize their denominators by taking the LCM if they are not equal.

The LCM of $9$ and $6$ is $18$.

Therefore,

$=> \frac{2\times 2}{9\times 2}+\frac{5\times 3 }{6\times 3}$

$=> \frac{4}{18}+\frac{15}{18}$

Since, both the fraction have the same denominator:

Add the numerators,

$=> \frac{4+15}{18}$

$=> \frac{19}{18}$

Hence, the required solution is $\frac{19}{18}$.