Dustin buys 9/10 yard of striped fabric. He uses 3/8 yard. He buys 7/8 yard more. About how much fabric does Dustin have now?
A. 1 yard
B. 1/2 yard
C. 1 1/2 yards
D. 2 yards
1 - 1/2 + 1 = 1 1/2
To find out how much fabric Dustin has now, we need to add up the amounts he bought and subtract the amount he used.
Dustin bought 9/10 yard of fabric.
Dustin used 3/8 yard of fabric.
Dustin bought an additional 7/8 yard of fabric.
To add the amounts, we need a common denominator. The least common denominator for 10, 8, and 10 is 40.
9/10 yard is equal to (9/10) * (4/4) = 36/40 yard.
3/8 yard is equal to (3/8) * (5/5) = 15/40 yard.
7/8 yard is equal to (7/8) * (5/5) = 35/40 yard.
Now we can add the amounts:
36/40 + 35/40 + 15/40 = 86/40 yard.
Simplifying the fraction gives us 2 6/40, which can be reduced to 2 3/20 yard.
Therefore, Dustin has about 2 3/20 yards of fabric. Since none of the answer choices match this exact amount, the closest option is:
D. 2 yards.
To calculate how much fabric Dustin has now, we need to add up all the amounts he has purchased and subtract the amount he has used from the total amount.
First, let's find the total amount of fabric Dustin initially bought:
Dustin buys 9/10 yard of striped fabric.
Next, let's subtract the amount Dustin used:
He uses 3/8 yard.
To find the amount Dustin has now, we need to add the amount he initially bought and the additional amount he bought, and then subtract the amount he used:
9/10 yard + 7/8 yard - 3/8 yard
To add fractions, we need to make sure they have the same denominator.
The least common denominator between 10, 8, and 8 is 40.
So, let's rewrite the fractions with the common denominator:
(9/10)(4/4) + (7/8)(5/5) - (3/8)(5/5)
Now, we can perform the addition and subtraction:
36/40 + 35/40 - 15/40
Combining the fractions:
(36 + 35 - 15)/40
Which simplifies to:
56/40
To make it easier to understand, let's convert this mixed number into an improper fraction:
56/40 = 1 16/40
Finally, we can simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 8:
1 16/40 = (1*8 + 16)/(40/8) = 24/5
Therefore, Dustin has 24/5 yards of fabric now.
To choose the most accurate answer choice, we can convert the improper fraction to a mixed number:
24/5 = 4 4/5
Based on this, the closest answer choice is C. 1 1/2 yards.