Problem:
Solve the problem 5 ÷ 10/3

Solution:

To solve this problem, we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

Step 1: Convert the division to multiplication:

To convert the division to multiplication, we need to use the reciprocal of the divisor. The reciprocal of a number is obtained by flipping the numerator and denominator. In this case, the divisor is 10/3, so its reciprocal is 3/10.

5 ÷ 10/3 = 5 × 3/10

Step 2: Simplify the multiplication:

To simplify the multiplication, we multiply the numerators together and the denominators together.

5 × 3/10 = (5 × 3) / 10

Step 3: Perform the multiplication:

5 × 3 = 15

Therefore, the expression becomes:

15/10

Step 4: Simplify the fraction:

To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator and denominator, and then divide both by the GCD.

The GCD of 15 and 10 is 5.

15 ÷ 5 = 3
10 ÷ 5 = 2

Therefore, the simplified fraction is:

3/2

Final Answer:

The solution to the problem 5 ÷ 10/3 is 3/2.