Alicia had 2 1/2 yards of ribbon. She used 1/3 of the ribbon on the costume and 25% on a bracelet. How many yards did she use?
1/3 + 1/4 = 4/12 + 3/12 = 7/12
(7/12) * (5/2) = ?
1.45
To find out how many yards of ribbon Alicia used, we need to calculate the sum of the amount used on the costume and bracelet.
First, let's calculate how much ribbon Alicia used on the costume. Alicia used 1/3 of the total ribbon.
To find 1/3 of a number, we divide the number by 3. So, we divide 2 1/2 by 3.
2 1/2 can be written as an improper fraction: 5/2.
Dividing 5/2 by 3 gives us (5/2) ÷ 3 = (5/2) × (1/3) = 5/6.
Therefore, Alicia used 5/6 yards of ribbon on the costume.
Now, let's calculate how much ribbon Alicia used on the bracelet. Alicia used 25% of the total ribbon.
To find 25% of a number, we multiply the number by 25/100 or 0.25 in decimal form.
Multiplying 2 1/2 (or 5/2) by 0.25 gives us (5/2) × 0.25 = 5/8.
Therefore, Alicia used 5/8 yards of ribbon on the bracelet.
To find the total amount of ribbon used, we need to add the amounts used on the costume and the bracelet.
Adding 5/6 and 5/8 can be tricky because the denominators are different. We need to find the least common multiple (LCM) of 6 and 8, which is 24.
We can convert both fractions to have a denominator of 24 by multiplying the numerator and denominator of each fraction by certain numbers.
For 5/6: (5/6) × (4/4) = 20/24.
For 5/8: (5/8) × (3/3) = 15/24.
Now, we can add 20/24 and 15/24: 20/24 + 15/24 = (20 + 15)/24 = 35/24.
Since the numerator is greater than the denominator, we have an improper fraction. Let's convert it back to a mixed number: 35/24 = 1 11/24.
Therefore, Alicia used a total of 1 11/24 yards of ribbon.