last week rowena spent 1/3 of her weekly allowance on snacks, 2/5 on school materials and 1/4 of the remainder, on transportation. if she save the rest of her allowance , what fraction of her allowance did she save?
To find out what fraction of her allowance Rowena saved, we need to calculate the remaining portion after she spends on snacks, school materials, and transportation.
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.
To find out what fraction of her allowance Rowena saved, we'll need to follow these steps:
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.
1 fifth
5/15 + 6/15 = 11/15
1 - 11/15 = 4/15
4/15 * (1 -1/4) = 3/15 = 1/5