the band uses 1 3/4 yrds of blue fabric and 3/8 yard of gold fabric to make a banner how many yards of fabric do they need to make 5 banners
5 * 1.75 = 8.75 blue
5 * 0.375 = 1.875 gold
1.875 + 8.75 = 10.625 or 10 5/8 yards
To find out how many yards of fabric the band needs to make 5 banners, we need to calculate the total amount of fabric required for one banner and then multiply it by 5.
Given that the band uses 1 3/4 (or 7/4) yards of blue fabric and 3/8 yard of gold fabric for one banner, we can add these two quantities to find the total fabric required for one banner:
7/4 yards (blue fabric) + 3/8 yards (gold fabric)
To perform this addition, we need to ensure that both fractions have the same denominator. In this case, the lowest common denominator is 8:
(7/4) x (2/2) = 14/8
(3/8) x (1/1) = 3/8
Now, we can add the fractions:
14/8 + 3/8 = 17/8
17/8 can also be expressed as 2 1/8
So, one banner requires a total of 2 1/8 yards of fabric.
To find the total fabric required for 5 banners, we need to multiply the fabric required for one banner by 5:
2 1/8 yards x 5 = (17/8) x 5 = 85/8 yards
Thus, to make 5 banners, the band needs 85/8 (or 10 5/8) yards of fabric in total.