Question

find the sum of 6 2/3 + 2 4/6 + 3 2/3 step by step ​

Answer 1

Answer:

13

Step-by-step explanation:

First we have to convert all of the mixed fractions into normal fractions

6 2/3 = 20/3

2 4/6 = 16/6

3 2/3 = 11/3

Now we have to take L.C.M of their denominators

L.C.M of 3, 6, 3 = 6

20/3 = 40/6

16/6 = 16/6

11/3 = 22/6

40 + 16 + 22 / 6

78/6

13

Answer 2

According to the question, as we have to find the sum of

$6\frac{2}{3} +2\frac{4}{6} +3\frac{2}{3}$

For that first, we need to convert the given mixed fraction into an improper fraction.

Multiply the denominator of the fraction by the whole number part. Then add the result with the numerator.

$=>6\frac{2}{3}=\frac{20}{3}$

$=>2\frac{4}{6} =\frac{16}{6}$

$=>3\frac{2}{3}=\frac{11}{3}$

So, the improper fraction is written as:

$=>\frac{20}{3} +\frac{16}{6} +\frac{11}{3}$

Now, we have to find the lowest common denominator,

$=>\frac{(20\times2)}{(3\times2)} +\frac{16}{6} +\frac{(11\times2)}{(3\times2)}$

By multiplying both numerator and denominator,

$=>\frac{40}{6}+\frac{16}{6} +\frac{22}{6}$

By adding the fractions,

$=>\frac{(40+16+22)}{6}$

$=>\frac{78}{6}$

$=>13$

Hence, the sum of $6\frac{2}{3} +2\frac{4}{6} +3\frac{2}{3}$ is $13.$