Answer:
8/9
Explanation:
According to the order of operations, we're able to do multiplication and division from left to right, so we can start with 1/5 * 10/3:
Step 1: Multiply 1/5 and 10/3 and simplify (if possible):
1/5 * 10/3
(1 * 10) / (5 * 3)
10 / 15
2/3
Step 2: Divide 2/3 and 7/3 and simplify (if possible):
2/3 ÷ 7/2
2/3 * 2/7
(2 * 2) / (3 * 7)
4/21
Step 3: Multiply 4/21 and 14/3 and simplify (if possible):
4/21 * 14/3
(4 * 14) / (21 * 3)
56 / 63
8/9
Thus, the final answer is 8/9.