a costume designer brought 2 1/2 yards of black silk, 3 yeards 6 inches of white silk, and 6 1/3 yeards of blue silk. how many yeards of silk did she buy?
To do this problem you need to know is that 1 yd = 36 inches.
It is not necessary to convert to inches and then reconvert to yards. You can convert the dimensions to decimals and then add.
However, even with this, you need to remember that 1 yd = 36 inches.
I hope this helps a little more. Thanks for asking.
To find out how many yards of silk the costume designer bought, we need to add up the lengths of the black, white, and blue silk.
First, let's convert all the measurements to the same unit, which is yards.
For the black silk:
The costume designer brought 2 1/2 yards. To convert the 1/2 yard to a fraction with a common denominator, we can represent it as 2/2 + 1/2 = 3/2 yards.
For the white silk:
The costume designer brought 3 yards 6 inches. Since there are 12 inches in a foot and 3 feet in a yard, we can convert 6 inches to yards by dividing it by 36 (12 inches * 3 feet). Therefore, 6 inches = 6/36 yards = 1/6 yards.
Adding this to 3 yards gives us a total of 3 + 1/6 yards.
For the blue silk:
The costume designer brought 6 1/3 yards.
Now, we can add up the lengths:
2 1/2 yards (black silk) + 3 + 1/6 yards (white silk) + 6 1/3 yards (blue silk).
To add these fractions, we need to find a common denominator, which in this case is 6.
2 1/2 yards = 5/2 yards
3 + 1/6 yards = 19/6 yards
6 1/3 yards = 19/3 yards
Now, let's add the fractions:
5/2 + 19/6 + 19/3
To add these fractions, we need to get a common denominator, which is 6. We can do this by multiplying the numerator and denominator of the first fraction (5/2) by 3, and multiplying the numerator and denominator of the second fraction (19/6) by 1.
(5/2) * (3/3) + (19/6) * (1/1) + (19/3)
This simplifies to:
15/6 + 19/6 + 19/3
Now, we can add the numerators together and keep the common denominator:
(15 + 19 + 38) / 6 = 72/6
Finally, we can simplify this fraction:
72/6 = 12
Therefore, the costume designer bought 12 yards of silk in total.