Respuesta :

Answer:

5 9/10

Step-by-step explanation:

step one: convert 4 1/2 into 9/2 and convert 1 2/5 into 7/5

step two: find common denominator which is 10

step three convert to common denominator, 9/5=45/10 and 7/5= 14/10

step four add together which is 59/10

step five simplify into mixed number 5 9/10

Answer:

[tex]5 \frac{9}{10}[/tex] = 5 9/10

Step-by-step explanation:

Rewrite by seperating

[tex]4 + \frac{1}{2} + 1 + \frac{2}{5}[/tex]

Combine the whole numbers '4' and '1'

[tex]5 + \frac{1}{2} + \frac{2}{5}[/tex]

Now add the both fractions

[tex]\frac{1}{2} + \frac{2}{5}[/tex] ; fractions should have a common denominator in order to be added

The common LCD is 10

[tex]\frac{1}{2} * \frac{5}{5} + \frac{2}{5}*\frac{2}{2}[/tex]

[tex]\frac{5}{10} + \frac{4}{10}[/tex] now we can add

[tex]\frac{5}{10} + \frac{4}{10} = \frac{9}{10}[/tex]

Lastly combine the whole number part and the fraction part

[tex]5 + \frac{9}{10}[/tex] = [tex]5 \frac{9}{10}[/tex]