Kate saves 1/5 of her allowance and spends 2/3 of her allowance at the mall. what fraction of her allowance remains?
1/5 = 3/15
2/3 = 10/15
3/15 + 10/15 = 13/15
15/15 - 13/15 = ??
i don't understand why we have to add 1/5 + 2/3. can you
explain more in detail for me please
You want to know how much you have left after she's saved some and spent some.
okay I get it now. Thank you for your help :)
:-)
You're welcome.
pineappples
Wouldn't you multiply the 5 by 3 and the 3 by 5 because you're getting common denominators instead of adding?
To find the fraction of Kate's allowance that remains, we need to subtract the fraction she saved and the fraction she spent from the whole amount of her allowance.
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.