We are given a table that shows how Eva budgets her weekly allowance. We want to rewrite each decimal as a fraction in simplest form.

We will rewrite one decimal at a time. Let's start with the first one.

0.4

This number can be read as

4

tenths

. This means that we can write it as a fraction with a numerator of

4

and with a denominator of

10 .

From there we can simplify the fraction by dividing both the numerator and denominator by

2 .

\frac{4}{1 0}

$\frac{a}{b} = \frac{a / 2}{b / 2}$

\frac{4 \div 2}{1 0 \div 2}

Calculate quotient

\frac{2}{5}

Now let's do the same with the portion of money for charity.

0.15

This number can be read as

15

hundredths

. This means that we can write it as a fraction with a numerator of

15

and with a denominator of

100 .

After that, we can simplify the fraction by dividing both the numerator and denominator by

5 .

\frac{1 5}{1 0 0}

$\frac{a}{b} = \frac{a / 5}{b / 5}$

\frac{1 5 \div 5}{1 0 0 \div 5}

Calculate quotient

\frac{3}{2 0}

Finally, we will rewrite the portion of money for shopping as a fraction.

0.45

This number can be read as

45

hundredths

. This means that we can write it as a fraction with a numerator of

45

and with a denominator of

100 .

Then, we will divide both the numerator and denominator by

5 .

\frac{4 5}{1 0 0}

$\frac{a}{b} = \frac{a / 5}{b / 5}$

\frac{4 5 \div 5}{1 0 0 \div 5}

Calculate quotient

\frac{9}{2 0}

Let's summarize our calculations in a table.

Exercise