Celeste completed 5/6

Question

of her science problems. Her mom checked 2/3
of the assignment. What fraction of the assignment did her mom check? (1 point)
Responses

5/4

5/9

1/3

1/6

Answer 1

To find the fraction of the assignment that Celeste's mom checked, we need to calculate \( \frac{2}{3} \) of the fraction of the assignment that Celeste completed, which is \( \frac{5}{6} \).

We perform the multiplication as follows:

\[ \text{Fraction checked} = \frac{2}{3} \times \frac{5}{6} \]

To multiply fractions, we multiply the numerators and the denominators:

\[ \frac{2 \times 5}{3 \times 6} = \frac{10}{18} \]

Now we can simplify \( \frac{10}{18} \) by finding the greatest common divisor:

\[ \frac{10 \div 2}{18 \div 2} = \frac{5}{9} \]

So, the fraction of the assignment that Celeste's mom checked is \( \frac{5}{9} \).

The correct response is \( \frac{5}{9} \).