Question

Aubrey used

\[\dfrac{4}7\text{ liter}\] of paint for a mural in her room and

\[\dfrac{2}{10}\text{ liter}\] for a wall in her bathroom.
Determine a reasonable estimate for the total amount of paint Aubrey used.
Choose 1 answer:

Answer 1

To estimate the total amount of paint Aubrey used, we can round the two amounts to simpler fractions that are easier to work with.

First, let's round \(\dfrac{4}{7}\):

\(\dfrac{4}{7}\) is approximately equal to \(0.57\), which we can round to \(0.5\) (or \(\dfrac{1}{2}\)) for simplicity.

Next, let's round \(\dfrac{2}{10}\):

\(\dfrac{2}{10} = \dfrac{1}{5}\) which is approximately \(0.2\), but we might round it to \(0.25\) (or \(\dfrac{1}{4}\)) if we want a simple fraction.

Now we can add the rounded values:

- Rounded \(\dfrac{4}{7} \approx \dfrac{1}{2}\)
- Rounded \(\dfrac{2}{10} \approx \dfrac{1}{4}\)

To add these, we can convert to a common denominator. The least common multiple of \(2\) and \(4\) is \(4\):

\[
\dfrac{1}{2} = \dfrac{2}{4}
\]
\[
\dfrac{1}{4} = \dfrac{1}{4}
\]

Adding these together:

\[
\dfrac{2}{4} + \dfrac{1}{4} = \dfrac{3}{4}
\]

Thus, a reasonable estimate for the total amount of paint Aubrey used is \(\frac{3}{4}\) liter.

So the answer is:
\[
\frac{3}{4}\text{ liter}
\]