tin uses 3/5 yard of fabric to make 1 backpack. How many backpacks can Martin make if he has a total of 9 yards of fabric?(1 point)
If Tin uses 3/5 of a yard of fabric to make one backpack, Martin would be able to make 9 / (3/5) = 9 * 5/3 = <<9*(5/3)=15>>15 backpacks. Answer: \boxed{15}.
To find out how many backpacks Martin can make, we need to divide the total yards of fabric by the amount of fabric required to make one backpack.
Given:
- Tin uses 3/5 yards of fabric to make 1 backpack.
- Martin has a total of 9 yards of fabric.
To find out how many backpacks Martin can make, we divide the total yards of fabric by the fabric required for one backpack:
9 yards ÷ (3/5) yards/backpack
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
9 yards × (5/3) backpacks/yard
Simplifying the calculation:
(9 × 5) yards × (1/3) backpacks/yard
45 yards × (1/3) backpacks/yard
45/3 backpacks
This simplifies to:
15 backpacks
Therefore, Martin can make 15 backpacks if he has a total of 9 yards of fabric.
To calculate how many backpacks Martin can make, we need to divide the total yards of fabric he has by the amount of fabric required to make each backpack.
Given that Tin uses 3/5 yard of fabric to make 1 backpack, we can set up a proportion:
(3/5) yard = 1 backpack
9 yards = ? backpacks
To find the number of backpacks, we can cross-multiply and solve for the unknown:
(3/5) yard * ? backpacks = 9 yards
To isolate the unknown, we can multiply both sides by the reciprocal of (3/5) yard:
? backpacks = (9 yards) / ((3/5) yard)
To divide fractions, we multiply by the reciprocal of the divisor:
? backpacks = (9 yards) * ((5/3) yard)
Now we can cancel out the yards:
? backpacks = (9 * 5) / 3
? backpacks = 15 backpacks
Therefore, Martin can make 15 backpacks with the 9 yards of fabric he has.
What is the quotient of 15÷5/8 ?(1 point)
Responses
24
24
9 3/8
9 3/8
8 7/5
3/8
To divide by a fraction, we multiply by its reciprocal.
In this case, we need to divide 15 by 5/8.
So the calculation is:
15 ÷ 5/8 = 15 * 8/5 = 120/5 = 24
Therefore, the quotient is 24.
Answer: 24.
What is the quotient of 56÷3 ?(1 point)
Responses
18/5
Start Fraction 18 over 5 End Fraction
2 1/2
2 Start Fraction 1 over 2 End Fraction
5/18
Start Fraction 5 over 18 End Fraction
2/5
To find the quotient of 56 divided by 3, we perform the division operation:
56 ÷ 3 = 18 remainder 2.
The quotient is 18, indicating that 56 can be divided by 3 exactly 18 times, with a remainder of 2.
Answer: 18.