Question

mrs. vacarro sliced a banana into 5 pieces. after eating one slice, she gave \\(\frac{4}{5}\\) of the original total to her toddler. after her child was finished, there were \\(\frac{2}{5}\\) of the banana slices left. what expression would you use to find out what fractional amount of banana mrs. vacarros toddler ate?

a. \\(\frac{4}{5} \times \frac{2}{5}\\). since we are wanting to know the total amount of the banana the toddler ate we would need to multiply the two fractions together.
b. \\(\frac{4}{5} - \frac{2}{5}\\). since mrs. vacarro gave the toddler \\(\frac{4}{5}\\) of the original banana slices we needed to subtract the remaining \\(\frac{2}{5}\\) from the original \\(\frac{4}{5}\\) to find the amount the toddler ate.
c. \\(\frac{4}{5} + \frac{2}{5}\\). since mrs. vacarro initially gave the toddler \\(\frac{4}{5}\\) of the banana and then later gave them the remaining \\(\frac{2}{5}\\) we needed to add the two fractions together to get the total amount the toddler ate.
d. \\(5/5 - \frac{2}{5}\\). since 5/5 reduces to one whole banana we just need to subtract the remaining \\(\frac{2}{5}\\) the toddler was given the second time to get the total amount they have eaten.

Explanation:

Identify the given values

The toddler was given \( \frac{1}{5} \) of the original total.
After eating, \( \frac{2}{15} \) of the banana slices remained.

Determine the operation

Using the Fraction Subtraction knowledge point

$$ \text{Amount eaten} = \text{Initial amount} - \text{Remaining amount} $$

$$ \text{Amount eaten} = \frac{1}{5} - \frac{2}{15} $$

Match with the options

The expression is \( \frac{1}{5} - \frac{2}{15} \).
This matches option b, which explains subtracting the remaining \( \frac{2}{15} \) from the original \( \frac{1}{5} \).

Answer:

• a. \( \frac{1}{5} \times \frac{2}{15} \). Since we are wanting to know the total amount of the banana the toddler ate we would need to multiply the two fractions together.
• b. \( \frac{1}{5} - \frac{2}{15} \). Since Mrs. Vacarro gave the toddler \( \frac{1}{5} \) of the original banana slices we needed to subtract the remaining \( \frac{2}{15} \) from the original \( \frac{1}{5} \) to find the amount the toddler ate. (Correct answer)
• c. \( \frac{1}{5} + \frac{2}{15} \). Since Mrs. Vacarro initially gave the toddler \( \frac{1}{5} \) of the banana and then later gave them the remaining \( \frac{2}{15} \) we needed to add the two fractions together to get the total amount the toddler ate.
• d. \( 5/5 - \frac{2}{15} \). Since \( 5/5 \) reduces to one whole banana we just need to subtract the remaining \( \frac{2}{15} \) the toddler was given the second time to get the total amount they have eaten.