Henry did 5/6
of his math problems. The next day, he checked 2/3
of the homework problems he did the night before. What fraction of the homework problems did he check?
To find the fraction of the problems Henry checked, we need to multiply the fraction of the math problems Henry did by the fraction of homework problems he checked: 5/6 * 2/3 =<<5/6*2/3=5/9>>5/9. Answer: \boxed{\frac{5}{9}}.
To calculate the fraction of the homework problems Henry checked, we need to find the product of the fractions representing the part he did and the part he checked.
1. Start with the fraction representing the part Henry did: 5/6 of the math problems.
2. Next, find the fraction representing the part he checked the next day: 2/3.
3. To find the fraction of the homework problems he checked, multiply these two fractions: (5/6) * (2/3).
To simplify the multiplication, cancel out any common factors between the numerators and denominators:
(5/6) * (2/3) = (5 * 2) / (6 * 3)
Now, multiply the numerators and denominators:
(5 * 2) = 10
(6 * 3) = 18
So, Henry checked 10/18 of the homework problems.
However, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2:
10/18 = (10/2) / (18/2) = 5/9
Therefore, Henry checked 5/9 of the homework problems.
To find the fraction of the homework problems that Henry checked, we need to multiply the fractions representing the portions of math problems he did and the portion of homework problems he checked.
First, let's calculate the fraction of math problems Henry did:
The fraction is given as 5/6.
Next, let's calculate the fraction of homework problems he checked:
The fraction is given as 2/3.
To find the fraction of homework problems checked, multiply these two fractions:
(5/6) * (2/3) = (5 * 2) / (6 * 3) = 10/18.
Therefore, Henry checked 10/18 or simplified to 5/9 of the homework problems.