You have 10 inches of ribbon and want to create some headbands for some toys. The headbands require 2 and 1/3 inches of ribbon. How many complete headbands can you make? Explain your thinking
To find out how many complete headbands can be made, we need to divide the total length of ribbon by the length of ribbon required for each headband.
Given:
Total length of ribbon = 10 inches
Length of ribbon required for each headband = 2 and 1/3 inches
To get rid of the fraction, we can convert 1/3 inch to decimal form:
1/3 = 0.33 (approximately)
Now, let's calculate the total number of headbands that can be made:
10 inches of ribbon ÷ 2.33 inches of ribbon per headband = 4.29
Since we cannot make a fraction of a headband, we need to round down. Thus, we can make a total of 4 complete headbands using the given 10 inches of ribbon.
To calculate how many complete headbands you can make, divide the total length of ribbon (10 inches) by the length of ribbon required for each headband (2 and 1/3 inches).
Step 1: Convert the mixed number 2 and 1/3 into an improper fraction. Multiply the whole number (2) by the denominator (3) and add the numerator (1). Then, write the sum over the denominator: (2 * 3 + 1) / 3 = 7/3.
Step 2: Divide the total length of ribbon (10 inches) by the length required for each headband (7/3 inches).
10 inches ÷ (7/3) inches
Step 3: Divide 10 by 7/3. Remember, when dividing by a fraction, you can multiply by its reciprocal.
10 inches * (3/7) inches = (30/7) inches ≈ 4.29 inches
Step 4: Round the result down to the nearest whole number since you cannot create a fraction of a headband.
Therefore, you can make a total of 4 complete headbands with the given 10 inches of ribbon.
To figure out how many complete headbands you can make with 10 inches of ribbon, you need to divide the total length of the ribbon by the length needed for each headband.
Given that each headband requires 2 and 1/3 inches of ribbon, you can convert this mixed number to a fraction. 2 and 1/3 is the same as 7/3.
Now, divide the total length of the ribbon by the length needed for each headband:
10 inches ÷ 7/3 inches per headband
To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction:
10 inches × 3/7 inches per headband
Simplifying the calculation gives:
30/7 inches
Since you can't have fractions of a headband, you need to determine how many whole headbands can be made. To do this, divide the total length of the ribbon by the length needed for each headband using integer division:
30/7 = 4, remainder 2
This means you can make 4 complete headbands with 2 inches of remaining ribbon.