Martin 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?
Martin can make 1 backpack with 3/5 yard of fabric.
Therefore, with 9 yards of fabric, he can make 9/(3/5) = <<9/(3/5)=15>>15 backpacks. Answer: \boxed{15}.
To find out how many backpacks Martin can make, we need to divide the total amount of fabric he has (9 yards) by the amount of fabric used for each backpack (3/5 yard).
Now, we have a fraction division problem: 9 ÷ (3/5).
To divide fractions, we need to multiply the dividend (9) by the reciprocal of the divisor (3/5).
The reciprocal of 3/5 is obtained by flipping the fraction, resulting in 5/3.
So, the problem becomes 9 × (5/3).
To multiply fractions, we simply multiply the numerators together and multiply the denominators together.
9 × 5 = 45
3 × 1 = 3
Thus, 9 ÷ (3/5) = 45/3 = 15.
Martin can make 15 backpacks with 9 yards of fabric.
To determine the number of backpacks Martin can make, divide the total amount of fabric he has by the amount of fabric used to make one backpack.
1 backpack requires 3/5 yards of fabric.
So, to find the number of backpacks, divide 9 yards of fabric by 3/5 yards:
9 yards ÷ (3/5) yards = 9 yards × (5/3) = (9 × 5) / 3 = 45/3 = 15
Therefore, Martin can make a total of 15 backpacks with 9 yards of fabric.