Scott is making costumes for a dance recital. He has 12 yards of purple fabric. Each costume uses 3/4 yard of purple fabric. How many costumes can Scott make? (thank you in advance :)!)
To find the number of costumes Scott can make, divide the total amount of purple fabric by the amount used per costume:
12 / (3/4) = 12 * (4/3) = 16
Scott can make 16 costumes.
What is the quotient of 5/12 and 1 1/6
To find the quotient of fractions, divide the numerator of the first fraction by the numerator of the second fraction and divide the denominator of the first fraction by the denominator of the second fraction:
5/12 ÷ 1 1/6
First, convert the mixed number to an improper fraction:
1 1/6 = (6 * 1) + 1 = 7/6
Now, divide the fractions:
5/12 ÷ 7/6
When dividing fractions, you invert the second fraction and multiply:
5/12 * 6/7
Simplify the fractions:
(5 * 6) / (12 * 7) = 30/84
The quotient of 5/12 and 1 1/6 is 30/84.
30/84 simplafied
To simplify 30/84, find the greatest common divisor (GCD) of the numerator and denominator, and divide both by it:
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.
The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84.
The highest common factor of 30 and 84 is 6. Divide both the numerator and denominator by 6:
30 ÷ 6 = 5
84 ÷ 6 = 14
Therefore, the simplified form of 30/84 is 5/14.
To find out how many costumes Scott can make, divide the total amount of fabric he has (12 yards) by the amount of fabric required for each costume (3/4 yard).
12 yards ÷ 3/4 yard =
To divide by a fraction, you can multiply by its reciprocal. In this case, the reciprocal of 3/4 is 4/3. Therefore, you can rewrite the problem as:
12 yards × 4/3 =
Now, multiply the numerators (12 × 4) and denominators (1 × 3) separately:
48 yards ÷ 3 =
Finally, divide 48 by 3 to get the result:
48 ÷ 3 = 16
So, Scott can make 16 costumes with 12 yards of purple fabric.
To find out how many costumes Scott can make, we need to divide the total amount of purple fabric he has (12 yards) by the amount of fabric needed for each costume (3/4 yard).
First, we need to convert 3/4 yard into a decimal. To do this, we divide 3 by 4:
3 ÷ 4 = 0.75
Now we know that each costume requires 0.75 yards of purple fabric.
Next, we divide the total amount of purple fabric by the amount needed for each costume:
12 yards ÷ 0.75 yards = 16
So, Scott can make 16 costumes with the 12 yards of purple fabric he has.