Respuesta :
Answer:
>> [tex]6\frac{5}{18}[/tex]
Step-by-step explanation:
1) Add the whole numbers first.
[tex]5+\frac{5}{6} +\frac{4}{9}[/tex]
2) Find the Least Common Denominator (LCD) of [tex]\frac{5}{6} ,\frac{4}{9}[/tex] . In other words, find the Least Common Multiple (LCM) of [tex]6,9[/tex].
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.
[tex]5+\frac{5\times 3}{6\times 3}+\frac{4\times 2}{9\times 2}[/tex]
4. Simplify. Denominators are now the same.
[tex]5+\frac{15}{18}+\frac{8}{18}[/tex]
5. Join the denominators.
[tex]5+\frac{15+8}{18}[/tex]
6. Simplify.
[tex]5+\frac{23}{18}[/tex]
7. Convert [tex]\frac{23}{18}[/tex] to mixed fraction.
[tex]5+1\frac{5}{18}[/tex]
8. Simplify.
[tex]6\frac{5}{18}[/tex]
Decimal Form: 6.277778
Cheers.
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
