Cardo used 2/3 of a 5 1/2 meters of ribbon for his artwork. How many meters of ribbon were left?
1/3 was left.
1/3 * 11/2 = 11/6 = 1 5/6 meters
To find out how many meters of ribbon were left, we need to subtract the amount of ribbon used from the total length of the ribbon.
Given:
Total length of ribbon = 5 1/2 meters
Amount of ribbon used = 2/3 of 5 1/2 meters
Step 1: Convert the mixed number to an improper fraction.
5 1/2 = 11/2
Step 2: Multiply the fraction by the whole number and add the numerator to get the total number of meters.
2/3 * 11/2 = (2 * 11) / (3 * 2) = 22/6
Step 3: Simplify the fraction, if possible.
22/6 = 11/3
Step 4: Subtract the fraction representing the used ribbon from the total length of the ribbon.
Total length - Used length = 11/2 - 11/3
To perform this subtraction, we need a common denominator, which is 6.
11/2 = (11 * 3) / (2 * 3) = 33/6
33/6 - 11/3 = (33 - 12) / 6 = 21/6 = 7/2
So, Cardo used 11/3 meters of ribbon, which is equal to 7/2 meters.
Now, let's find the amount of ribbon left by subtracting the used ribbon from the total length of the ribbon.
Total length - Used length = 5 1/2 meters - 7/2 meters
Step 5: Convert the mixed number to an improper fraction.
5 1/2 = 11/2
Step 6: Subtract the fractions.
11/2 - 7/2 = (11 - 7) / 2 = 4/2 = 2 meters
Therefore, Cardo has 2 meters of ribbon left.
To find out how many meters of ribbon were left, we need to subtract the amount Cardo used from the total length of the ribbon.
First, we need to convert the mixed number 5 1/2 into an improper fraction:
5 1/2 = (5 * 2 + 1) / 2 = 11 / 2
Next, we need to calculate 2/3 of 11/2:
(2/3) * (11/2) = (2 * 11) / (3 * 2) = 22/6
So, Cardo used 22/6 meters of ribbon.
To find out how many meters of ribbon were left, we subtract 22/6 from the total length of the ribbon:
11/2 - 22/6
We need to find a common denominator for 2 and 6, which is 6. We easily convert 2 into 12/6:
11/2 - 22/6 = 11/2 - (22/6 * 2/2)
= 11/2 - 44/12
To subtract these fractions, we need to find a common denominator for 2 and 12, which is 12. We convert 2 into 24/12:
11/2 - 44/12 = (11/2 * 12/12) - 44/12
= 132/24 - 44/12
Now that both fractions have the same denominator, we can subtract them:
132/24 - 44/12 = (132 - 44) / 24
= 88 / 24
Finally, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 8:
88/24 = (88/8) / (24/8)
= 11/3
Therefore, Cardo used 22/6 meters, or 11/3 meters of ribbon.
To find out how many meters of ribbon were left, we subtract the amount used from the total length:
11/3 - 11/3 = 0/3
So, there were 0 meters of ribbon left.