Question

find the sum of the following like fraction 3 by 6 + 4 by 5​

Answer 1

Answer:

13 BY 10

Step-by-step explanation:

Find the least common denominator or LCM of the two denominators:

LCM of 6 and 5 is 30

Next, find the equivalent fraction of both fractional numbers with denominator 30

For the 1st fraction, since 6 × 5 = 30,

3 /6

=  

3 × 5

6 × 5

=  

15/ 30

Likewise, for the 2nd fraction, since 5 × 6 = 30,

4

5

=  

4 × 6

5 × 6

=  

24

30

Add the two like fractions:

15

30

+  

24

30

=  

15 + 24

30

=  

39

30

39/30 simplified gives  

13

10

So, 3/6 + 4/5 = 13/10

In mixed form: 1

3

10

Answer 2

Answer:

=> $\frac{13}{10}$

Step-by-step explanation:

Given that:-

$\frac{3}{6}+\frac{4}{5}$

To find:- The sum of $\frac{3}{6}+\frac{4}{5}$,

In order to calculate the sum, we have to make the denominator equal.

For that, we have to find the LCM of the denominator:

$=> \frac{3\times 5}{6\times 5}+\frac{4\times 6}{5\times 6}$

By simplifying it further, we get

$=> \frac{15}{30}+\frac{24}{30}$

Combine the fractions:

=> $\frac{15+24}{30}$

Add the terms in the fraction:

=> $\frac{39}{30}$

The GCF of the above fraction:

$=> \frac{13\times 3}{10\times 3}$

Now, by canceling the GCF:

=> $\frac{13}{10}$

Hence, the required solution is $\frac{13}{10}$.