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 and explain your thinking

Answer 1

To determine the number of complete headbands that can be made, we need to divide the total length of the ribbon by the length required for each headband.

Given that we have 10 inches of ribbon and each headband requires 2 and 1/3 inches, we first need to convert the mixed number into a fraction.

2 and 1/3 inches can be written as a fraction: 2/1 + 1/3 = 6/3 + 1/3 = 7/3 inches.

Now, let's divide 10 inches by 7/3 inches.

10 inches ÷ (7/3 inches) = 10 inches × (3/7 inches) = (30/7) inches.

To find the number of complete headbands, we divide the total length by the required length for one headband.

(30/7) inches ÷ (7/3) inches = (30/7) inches × (3/7 inches) = 90/49 ≈ 1.84 headbands.

Since we cannot have a fraction of a headband, we can only make the complete number of headbands, which is 1.