Celeste completed 5/6 of her science problems. her mom checked 2/3 of the assignment. what fraction of the assignment did her mom check?

The fraction of the assignment that Celeste completed is 5/6.

The fraction of Celeste's assignment that her mom checked is 2/3.
Therefore, the fraction of the assignment that her mom checked is (5/6)*(2/3) = 10/18 = 5/9. Answer: \boxed{\dfrac{5}{9}}.

To find out what fraction of the assignment Celeste's mom checked, we need to multiply the fraction Celeste completed by the fraction her mom checked.

Celeste completed 5/6 of the assignment, and her mom checked 2/3 of Celeste's completion.

1. Fraction Celeste completed: 5/6
2. Fraction Celeste's mom checked: 2/3

To multiply fractions, we multiply the numerators (top numbers) together and the denominators (bottom numbers) together:

(5/6) * (2/3)

Multiplying the numerators gives us 5 * 2 = 10, and multiplying the denominators gives us 6 * 3 = 18.

So, Celeste's mom checked 10/18 of the assignment. However, this fraction can still be simplified further.

To simplify, we find the greatest common divisor (GCD) of the numerator (10) and the denominator (18), which is 2. Dividing both the numerator and denominator by 2 gives us:

10 ÷ 2 / 18 ÷ 2 = 5/9

Therefore, Celeste's mom checked 5/9 of the assignment.