Jessica has 1 2/3 yards of fabric. She uses 2/5 of the fabric to make a pillow. how much fabric did it take to make the pillow? write a number sequence for the following problem

(2/5) * (5/3) = 10/15 = 1/3 yard

arithmetic check at last step...

Thanks, Scott.

Of course, 10/15 = 2/3

To find out how much fabric it took to make the pillow, we need to multiply the total amount of fabric that Jessica has by the fraction representing the amount of fabric used for the pillow.

Step 1: Convert the mixed number "1 2/3" to an improper fraction.
1 2/3 = (3 * 1 + 2) / 3 = 5/3

Step 2: Multiply the total fabric (5/3) by the fraction used for the pillow (2/5).
(5/3) * (2/5) = (5 * 2) / (3 * 5) = 10/15 = 2/3

Therefore, it took 2/3 yards of fabric to make the pillow.

Number sequence for the problem:
1 2/3 yards of fabric - Total amount of fabric Jessica has
2/5 - Fraction used for the pillow
2/3 yards of fabric - Amount of fabric used to make the pillow