Question

1 [how much money do they have together. write as a fraction and a decimal

Answer 1

Given data:

`\begin{gathered} \text{Iris has} \\ 1(3)/(5)\text{ dollars} \end{gathered}`

`\begin{gathered} \text{Violet has} \\ 2(5)/(10)\text{ dollars} \end{gathered}`

Together, they will have:

`\text{Iris}+\text{Violet}=1(3)/(5)+2(5)/(10)`

step 1=> convert to improper fraction

`\begin{gathered} 1(3)/(5)=(8)/(5) \\ \\ 2(5)/(10)=(25)/(10) \end{gathered}`

step 2: sum the improper fractions

`(8)/(5)+(25)/(10)`

To do this, we will find the lowest common multiple of the denominators

The denominators are 5 and 10

The lowest common multiple of 5 and 10 = 10

Step 3:Express each denominator so they will have the same lowest common multiple as shown below

`\begin{gathered} (8)/(5)=(16)/(10) \\ (25)/(10)=(25)/(10) \end{gathered}`
`(8)/(5)+(25)/(10)=(16)/(10)+(25)/(10)`

Since they now have a common denominator which is their lowest common multiple, we can easily sum the fractions up

`(16)/(10)+(25)/(10)=(16+25)/(10)=(41)/(10)`

The answers are:

Expressed as a fraction:

`(41)/(10)`

Expressed as a mixed fraction:

`4(1)/(10)`

Expressed as a decimal:

`4.1`