1/5 = 3/15
2/3 = 10/15
3/15 + 10/15 = 13/15
15/15 - 13/15 = ??
2/3 = 10/15
3/15 + 10/15 = 13/15
15/15 - 13/15 = ??
You're welcome.
First, let's represent Kate's allowance as a fraction. Let's assume her allowance is represented by the whole number 1, so it can be written as 1/1.
Kate saves 1/5 of her allowance, which we can add to the fraction of her allowance remaining. So, the fraction she saves is 1/5.
To find the fraction Kate spends, we need to subtract the fraction she saves (1/5) from the whole (1/1). So, the fraction left after saving is 1/1 - 1/5 = 5/5 - 1/5 = 4/5.
Now, Kate spends 2/3 of her allowance at the mall. We can subtract this fraction from the fraction remaining after saving (4/5). So, the fraction she spends is 2/3.
To find the fraction of Kate's allowance that remains, we need to subtract the fraction she spends (2/3) from the fraction remaining after saving (4/5).
Subtracting fractions requires finding a common denominator, which in this case is 15.
Multiplying the numerator and denominator of 4/5 by 3 gives us 12/15 (common denominator of 15).
Multiplying the numerator and denominator of 2/3 by 5 gives us 10/15 (common denominator of 15).
Now we can subtract the fractions: 12/15 - 10/15 = 2/15.
Therefore, Kate has 2/15 of her allowance remaining after saving 1/5 and spending 2/3.