Question

3 5/6 + 2 4/9 in its simplest form

Answer 1

Answer:

>>   $6\frac{5}{18}$

Step-by-step explanation:

1) Add the whole numbers first.

$5+\frac{5}{6} +\frac{4}{9}$

2) Find the Least Common Denominator (LCD) of $\frac{5}{6} ,\frac{4}{9}$ . In other words, find the Least Common Multiple (LCM) of $6,9$.

Method 1: By Listing Multiples

1. List the multiples of each number.

Multiples of 6 : 6, 12, 18, ...

Multiples of 9 : 9, 18, ...

2. Find the smallest number that is shared by all rows above. This is the LCM.

LCM = 18

3. Make the denominators the same as the LCD.

$5+\frac{5\times 3}{6\times 3}+\frac{4\times 2}{9\times 2}$

4. Simplify. Denominators are now the same.

$5+\frac{15}{18}+\frac{8}{18}$

5.  Join the denominators.

$5+\frac{15+8}{18}$

6. Simplify.

$5+\frac{23}{18}$

7. Convert $\frac{23}{18}$ to mixed fraction.

$5+1\frac{5}{18}$

8. Simplify.

$6\frac{5}{18}$

Decimal Form: 6.277778

Cheers.

Answer 2

Answer:

Step-by-step explanation:

3 5/6 + 2 4/9

= 23/6 + 22/9  = L.C.M = 18

= 23x3/6x3 + 22x2/9x2

= 69/18 + 44/18

Answer = 113/18

Mixed form = 6 5/18