Chelsea has 10 yards of yarn. How many bows can be made if each bow uses 2/3 yard of yarn?
Draw a diagram that represents the situation.
How many 2/3 yard did he cut?
Does he have any left over? How much?
Write a division sentence to show the situation.
10/(2/3) =
10 * (3/2) = 30/2 = 15 bows
To represent the situation, we can draw a rectangle to represent the 10 yards of yarn. Then, we can divide the rectangle into equal parts, each representing 2/3 yard of yarn, which is the amount used for each bow.
To find out how many 2/3 yards of yarn were cut, we need to divide the total length of yarn (10 yards) by the length of each piece (2/3 yard).
Dividing 10 by 2/3 can be done by inverting the divisor and multiplying. So, the division can be written as:
10 ÷ (2/3) = 10 * (3/2)
To perform this multiplication, you can multiply the numerators (10 * 3) and denominators (1 * 2), which gives you:
10 * 3 = 30
1 * 2 = 2
So, the division sentence becomes:
10 ÷ (2/3) = 30/2
After simplifying the fraction, we get:
10 ÷ (2/3) = 15
This means that Chelsea can make 15 bows using the 10 yards of yarn she has.
To find out if there is any yarn left over, we need to subtract the total amount of yarn used for the bows from the initial 10 yards. Since each bow uses 2/3 yard, we can multiply 15 (number of bows) by 2/3:
15 * (2/3) = (15/1) * (2/3) = 30/3 = 10
So, Chelsea doesn't have any yarn left over.
In summary:
- Chelsea can make 15 bows using the 10 yards of yarn.
- She does not have any yarn left over.