Angelia bought 5/6 yard of black string and 2/3 yard of orange string.She used 1/4 yard of black string and 13/24 yard of the orange string to make a necklace.
Part A:How much string did Angelia buy?
Part B:How much string did Angelia have left after she made the necklace?
part a: she bought 1.5 yards of string
part b: 17/24 yard left
A. 5/6+2/3 = 5/6+4/6 = 9/6 = 1 1/2 = 1.5 yds.
B. 1/4+13/24 = 6/24+13/24 = 19/24 yds. used.
1 1/2-19/24 = 3/2-19/24 = 36/24-19/24 = 17/24 yds left.
To find the answer to Part A, we need to find the total amount of string Angelia bought.
First, we add the amount of black string and orange string she bought:
5/6 yard (black string) + 2/3 yard (orange string)
To add these fractions, we need to find a common denominator. The least common multiple of 6 and 3 is 6.
Converting the fractions to have the same denominator:
5/6 yard (black string) + 4/6 yard (orange string)
Now that we have the same denominator, we can add the fractions:
5/6 yard + 4/6 yard = 9/6 yard
Simplifying the fraction:
9/6 yard = 3/2 yard
Therefore, Angelia bought a total of 3/2 yard of string.
To find the answer to Part B, we need to find the amount of string Angelia had left after making the necklace.
First, we find the total amount of string Angelia used:
1/4 yard (black string) + 13/24 yard (orange string)
To add these fractions, we need to find a common denominator. The least common multiple of 4 and 24 is 24.
Converting the fractions to have the same denominator:
6/24 yard (black string) + 13/24 yard (orange string)
Adding the fractions:
6/24 yard + 13/24 yard = 19/24 yard
Therefore, Angelia used a total of 19/24 yard of string to make the necklace.
To find the amount of string Angelia had left, we subtract the amount used from the total amount bought:
3/2 yard (total) - 19/24 yard (used)
To subtract fractions, we need a common denominator. The least common multiple of 2 and 24 is 24.
Converting the fractions to have the same denominator:
36/24 yard (total) - 19/24 yard (used)
Subtracting the fractions:
36/24 yard - 19/24 yard = 17/24 yard
Therefore, Angelia had 17/24 yard of string left after making the necklace.