Question

Rebecca needs 10 ½ yards of fabric to make a quilt. She has one piece of fabric that is 2 ½ yards and another piece of fabric that is 4 ¼ yards. How many more yards of fabric does Rebecca need to make the quilt

Answer 1

3
`(3)/(4)` yards of fabric

Explanation:

In order to solve this problem, we should first make all of the fractions have common denominators. To do so we can turn the 1/2s into 2/4 which both equal 0.5 or 50%. Now we simply need to add together the pieces of quilt that she has and subtract that value from the total that she needs in order to calculate the amount of quilt that she is missing.

10
`(2)/(4)` - (2
`(2)/(4)` + 4
`(1)/(4)`) = x

10
`(2)/(4)` - 6
`(3)/(4)` = x

3
`(3)/(4)` = x

Finally, we can see that Rebecca needs a total of 3
`(3)/(4)` yards of fabric to finish her quilt.