hailey wants to rake her entire yard. This morning she raked 1/3 of the yard, and this afternoon she raked another 3/5 of the yard. What fraction of her yard still needs to be raked?
To add fractions, the must have the same denominators.
1/3 = 5/15
3/5 = 9/15
5/15 + 9/15 = 14/15
15/15 - 14/15 = 1/15
thank you mrs. sue that helped me alot
You're welcome, Anne.
To find out what fraction of Hailey's yard still needs to be raked, we need to subtract the fractions she has already raked from the whole yard.
The fraction of the yard she raked this morning is 1/3, and the fraction she raked this afternoon is 3/5. To subtract these fractions, we need to find a common denominator that both 3 and 5 divide into evenly.
The LCD (Least Common Denominator) of 3 and 5 is 15.
To convert the fraction 1/3 to have a denominator of 15, we need to multiply both the numerator and denominator by 5. That gives us 5/15.
To convert the fraction 3/5 to have a denominator of 15, we need to multiply both the numerator and denominator by 3. That gives us 9/15.
Now we can subtract these fractions to find the fraction of Hailey's yard still needs to be raked:
5/15 (morning fraction) + 9/15 (afternoon fraction) = 14/15 (total fraction raked)
To find out what fraction still needs to be raked, we subtract the fraction raked from the whole yard, which is 1.
1 - 14/15 = 1/15
Therefore, the fraction of Hailey's yard that still needs to be raked is 1/15.