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?
Responses
To find the fraction of the homework problems that Henry checked, you need to multiply the two fractions: (5/6) * (2/3).
When you multiply fractions, you multiply the numerators together and multiply the denominators together.
(5/6) * (2/3) = (5 * 2) / (6 * 3) = 10/18.
Therefore, Henry checked 10/18 of the homework problems.
1/6
1/3
5/9
5/4
The correct answer is 1/3.
To find out what fraction of the homework problems Henry checked, we need to multiply the fraction of problems he did the first day (5/6) by the fraction of problems he checked the next day (2/3).
Step 1: Multiply the numerators: 5 x 2 = 10
Step 2: Multiply the denominators: 6 x 3 = 18
So, Henry checked 10/18 of the homework problems.
Simplifying this fraction, we can divide both the numerator and denominator by their greatest common factor, which is 2.
Step 3: Divide the numerator by 2: 10 ÷ 2 = 5
Step 4: Divide the denominator by 2: 18 ÷ 2 = 9
Therefore, Henry checked 5/9 of the homework problems.
To find the fraction of homework problems that Henry checked, we need to multiply the fractions 5/6 and 2/3.
To Multiply Fractions, the following steps can be followed:
1. Multiply the numerators (top numbers) together: 5 * 2 = 10
2. Multiply the denominators (bottom numbers) together: 6 * 3 = 18
3. Write the product of the numerators and denominators together as a new fraction: 10/18
However, we should simplify this fraction to its simplest form.
To Simplify Fractions, we need to find the greatest common divisor (GCD) of the numerator and the denominator, and then divide both the numerator and denominator by the GCD.
In this case, the GCD of 10 and 18 is 2. So, we divide 10 and 18 by 2.
10 ÷ 2 = 5
18 ÷ 2 = 9
Therefore, the simplified fraction is 5/9.
Hence, Henry checked 5/9 of the homework problems.