Which of the following is 3/8 divided by 5/8

Which of the following is 3/8 divided by 5/8?

A.
10/9

B.
9/10

C.
3/5

D.
5/12

To solve 38÷58\frac{3}{8} \div \frac{5}{8}83​÷85​, follow these steps:

1. Invert the divisor: To divide by a fraction, multiply by its reciprocal. The reciprocal of 58\frac{5}{8}85​ is 85\frac{8}{5}58​.
2. Multiply: Multiply 38\frac{3}{8}83​ by 85\frac{8}{5}58​:38×85\frac{3}{8} \times \frac{8}{5}83​×58​
3. Multiply the numerators and the denominators:3×88×5=2440\frac{3 \times 8}{8 \times 5} = \frac{24}{40}8×53×8​=4024​
4. Simplify: Reduce 2440\frac{24}{40}4024​ by dividing both the numerator and denominator by their greatest common divisor, which is 8:24÷840÷8=35\frac{24 \div 8}{40 \div 8} = \frac{3}{5}40÷824÷8​=53​

So, the correct answer is C. 35\frac{3}{5}53​.