nina bought 2 1/2 meters of yellow cloth and 1 1/2 meters red cloth.she used 8/3 meters for a costume dress. how much cloth remained?
2 1/2 + 1 1/2 = 4 meters
8/3 = 2 2/3
3 3/3 - 2 2/3 = ?
To find out how much cloth remained after Nina used 8/3 meters for the costume dress, we need to subtract the amount of cloth used from the total amount of cloth she bought.
First, let's add the lengths of the yellow and red cloth:
Yellow cloth: 2 1/2 meters
Red cloth: 1 1/2 meters
To add mixed numbers, we need to convert them to improper fractions:
Yellow cloth: 2 1/2 = 5/2
Red cloth: 1 1/2 = 3/2
Now, let's add the two fractions:
5/2 + 3/2 = (5 + 3)/2 = 8/2 = 4
So, the total amount of cloth Nina bought is 4 meters.
Next, we need to subtract the amount of cloth used (8/3 meters) from the total amount bought (4 meters):
4 - 8/3
To subtract fractions, we need a common denominator, which is 3 in this case.
We can rewrite 4 as an improper fraction: 4 = 4/1
Now, let's convert the fractions to have a common denominator of 3:
4/1 - 8/3 = (4*3)/(1*3) - 8/3 = 12/3 - 8/3
Subtract the numerators:
12/3 - 8/3 = (12 - 8)/3 = 4/3
Therefore, Nina has 4/3 meters of cloth remaining.