Hailey brought 4/5 yard of white fabric and 2/3yards of blue fabric.She used 1/3 yard of the white fabric and 17/30 of the blue fabric to make a table topper.
How much fabric did Hailey buy?
How much fabric did hailey have left after she made the table topper?
4/5 + 2/3 = 3*4 / 3*5 + 5*2 / 5*3
= 12/15 + 10/15
= 22/15
[which is 1 7/15 if we care]
22/15 - 1/3 - (17/30)(2/3)
= 22/15 - 5/15 - 17/(3*15)
= 66/45 - 15/45 -17/45
= (66 - 32)/45
= 34/45
Assuming no typos,
4/5 + 2/3 = 12/15 + 10/15 = 22/15 = 1 7/15 yd total
She used 1/3 + 17/30 * 2/3 = 30/90 + 54/90 = 84/90 = 14/15 yds
So she had 8/15 yd left
To find how much fabric Hailey bought, we need to add the amount of white fabric and blue fabric together.
White fabric: 4/5 yard
Blue fabric: 2/3 yard
To add fractions together, we need to have a common denominator. In this case, the common denominator is 15.
White fabric in terms of 15: (4/5) * (3/3) = 12/15 yard
Blue fabric in terms of 15: (2/3) * (5/5) = 10/15 yard
Now we can add the fractions:
Total fabric bought: 12/15 yard + 10/15 yard = 22/15 yard.
So, Hailey bought 22/15 yard of fabric.
To find out how much fabric Hailey had left after making the table topper, we need to subtract the amount of fabric used from the total fabric bought.
White fabric used: 1/3 yard
Blue fabric used: 17/30 yard
Again, we need to have a common denominator to subtract the fractions. In this case, the common denominator is 30.
White fabric used in terms of 30: (1/3) * (10/10) = 10/30 yard
Blue fabric used in terms of 30: (17/30) * (1/1) = 17/30 yard
Now we can subtract the fractions:
Total fabric used: 10/30 yard + 17/30 yard = 27/30 yard.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 3.
27/30 yard simplified: (27/3) / (30/3) = 9/10 yard.
So, Hailey had 9/10 yard of fabric left after making the table topper.