Susan has 8/9 gallons of water. She drinks 2/5 of it.
Select all the statements that help you determine what fraction of a gallon she has left.
Divide 8/9 by 2/5. No
Divide 2/5 by 8/9. Yes
Multiply the fractions together. No
Multiply 8 x 2 and 9 x 5. No
Can someone check my work please?
My answers:
1. No
2. No
3. Yes. 2/5 * 8/9 = The amount drunk.
4. Yes. 2/5 * 8/9 = 16/45 = The amount drunk.
Yes, I can help you check your work. To determine what fraction of a gallon Susan has left, you need to divide the amount of water she drinks (2/5) by the total amount of water she had originally (8/9). So, dividing 2/5 by 8/9 is the correct approach.
To divide fractions, you can invert the second fraction and then multiply. So, 2/5 divided by 8/9 is the same as 2/5 multiplied by 9/8.
Now, let's perform the calculation: (2/5) * (9/8) = 18/40.
Simplifying the fraction, we can divide both the numerator and denominator by the greatest common divisor (GCD), which is 2: (18/2)/(40/2) = 9/20.
Therefore, Susan has 9/20 of a gallon of water left.