Question

what is the sum of 1 7/10 and 3 3/5I did the problem and I got 4 13/10 but the answers to pick are different.How can I solve this correctly? I did it two times and got 4 13/10 but is incorrect.

Answer 1

`1(7)/(10)+3(3)/(5)=\text{?}`

To solve the above mixed number, here are the steps:

1. Make sure that the fraction part have the same denominator. For this, we can multiply 2/2 on 3/5 so that they will have the same denominator that is 10.

`(3)/(5)*(2)/(2)=(6)/(10)`

So, this means, the equation can also be written as:

`1(7)/(10)+3(6)/(10)=\text{?}`

2. Add the whole number separately. Add the fractions separately as well.

`\begin{gathered} =1+3+(7)/(10)+(6)/(10) \\ =4+(13)/(10) \end{gathered}`

3. Notice that 13/10 is an improper fraction because the numerator is bigger than the denominator. Because this is an improper fraction, we can break this down into two fractions: 10/10 + 3/10. Hence, the equation in step 2 can also be written as:

`\begin{gathered} =4+(13)/(10) \\ =4+(10)/(10)+(3)/(10) \end{gathered}`

4. We can convert 10/10 = 1 because any number having a denominator by itself is 1. Hence, the equation in step 3 can be written as:

`\begin{gathered} =4+1+(3)/(10) \\ \text{Solve.} \\ =5(3)/(10) \end{gathered}`

The sum of the two mixed number is 5 3/10.