Question

What is the sum of 2 2/5 + 1/15

Answer 1

`(37)/(15)`

Step-by-step explanation

`2(2)/(5)+(1)/(15)`

Step 1

convert the mixed number into an improper fraction:

remember how

`a(b)/(c)=((ac)+b)/(c)`

then

`2(2)/(5)=((2\cdot5+2))/(5)=(12)/(5)`

Step 2

now, add the fractions ( normally)

remember how:

`(a)/(b)+(c)/(d)=(ad+bc)/(bd)`

then

`\begin{gathered} (12)/(5)+(1)/(15) \\ (12)/(5)+(1)/(15)=(12\cdot15+5\cdot1)/(5\cdot15) \\ (12)/(5)+(1)/(15)=(185)/(75) \\ (12)/(5)+(1)/(15)=(37)/(15) \end{gathered}`

therefore, the answer is

`(37)/(15)`

I hope this helps you