Question

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

Answer 1

Given data:

$\begin{gathered} \text{Iris has} \\ 1\frac{3}{5}\text{ dollars} \end{gathered}$

$\begin{gathered} \text{Violet has} \\ 2\frac{5}{10}\text{ dollars} \end{gathered}$

Together, they will have:

$\text{Iris}+\text{Violet}=1\frac{3}{5}+2\frac{5}{10}$

step 1=> convert to improper fraction

$\begin{gathered} 1\frac{3}{5}=\frac{8}{5} \\ \\ 2\frac{5}{10}=\frac{25}{10} \end{gathered}$

step 2: sum the improper fractions

$\frac{8}{5}+\frac{25}{10}$

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} \frac{8}{5}=\frac{16}{10} \\ \frac{25}{10}=\frac{25}{10} \end{gathered}$$\frac{8}{5}+\frac{25}{10}=\frac{16}{10}+\frac{25}{10}$

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

$\frac{16}{10}+\frac{25}{10}=\frac{16+25}{10}=\frac{41}{10}$

The answers are:

Expressed as a fraction:

$\frac{41}{10}$

Expressed as a mixed fraction:

$4\frac{1}{10}$

Expressed as a decimal:

$4.1$