5/15 + 6/15 = 11/15
1 - 11/15 = 4/15
4/15 * (1 -1/4) = 3/15 = 1/5
1 - 11/15 = 4/15
4/15 * (1 -1/4) = 3/15 = 1/5
First, let's find the remaining portion after spending on snacks:
Fraction spent on snacks = 1/3
Remaining fraction = 1 - 1/3 = 2/3 of her allowance
Next, let's find the remaining portion after spending on school materials:
Fraction spent on school materials = 2/5
Remaining fraction = (2/3) - (2/5) = 10/15 - 6/15 = 4/15 of her allowance
Finally, let's find the remaining portion after spending on transportation:
Fraction spent on transportation = 1/4
Remaining fraction = (4/15) - (1/4) = 16/60 - 15/60 = 1/60 of her allowance
Therefore, Rowena saved 1/60 of her allowance.
1. Determine the fractions Rowena spent on each category (snacks, school materials, and transportation).
- Rowena spent 1/3 of her allowance on snacks.
- Rowena also spent 2/5 of her allowance on school materials.
2. Calculate the remaining fraction after Rowena's spending on snacks and school materials.
To do this, we first need to find a common denominator for 3 and 5, which is 15.
- Rowena spent 1/3 * 15/15 = 5/15 of her allowance on snacks.
- Rowena spent 2/5 * 15/15 = 6/15 of her allowance on school materials.
Now we can calculate the remaining fraction:
- Remaining fraction = 1 - (5/15 + 6/15) = 1 - 11/15 = 4/15
3. Lastly, determine the fraction Rowena saved.
- Rowena spent 1/4 of the remaining fraction on transportation, so she spent (1/4) * (4/15) = 1/15 of her allowance on transportation.
To calculate the fraction Rowena saved, we subtract the fraction spent on transportation from the remaining fraction:
- Fraction saved = Remaining fraction - Fraction spent on transportation = 4/15 - 1/15 = 3/15 = 1/5
Therefore, Rowena saved 1/5 of her allowance.