Jacob will need 8 fabric strips to make the quilt, rounding up from the calculated 7.5. This ensures he has enough material for the 3 3/4 feet long quilt, aligning with his colorful rainbow-themed design for his baby cousin's room.
To find out how many fabric strips Jacob needs to make the quilt, you can divide the total length of the quilt by the width of each fabric strip.
The quilt needs to be 3 3/4 feet long, and each fabric strip is 1/2 of a foot wide.
Number of strips = Total length of quilt / Width of each strip
First, convert the length of the quilt to a fraction of feet:
3 3/4 = (3 + 3/4) = (12/4 + 3/4) = 15/4
Now, plug in the values:
Number of strips = (15/4) / (1/2)
When you divide a fraction by another fraction, you can multiply by the reciprocal of the divisor:
Number of strips = (15/4) * (2/1)
Multiply the numerators and denominators:
Number of strips = (15 * 2) / (4 * 1) = 30/4
Reduce the fraction:
Number of strips = 15/2
So, Jacob will need 15/2 or 7.5 fabric strips to make the quilt. Since he cannot use a fraction of a fabric strip, he will need to round up to the nearest whole number. Therefore, Jacob will need 8 fabric strips to make the quilt.
Complete question:
Jacob wants to make a quilt for his baby cousin. The quilt needs to be 3 3/4 feet long. His cousin's room is rainbow-themed, and he wants to use strips of colorful fabric to make a striped quilt to match. He finds specialty fabric that is sold in pre-cut strips. Each fabric strip is 6 inches, or 1/2 of a foot, wide. Jacob plans to stitch the strips side by side together to make the length of the quilt. How many fabric strips will it take to make the quilt?