Question

10 2\3 - 5 1\3 : 3 1\5

Answer 1

5 1/3:3 1/5=16/3:16/5=16/3*5/16=5/3=1 2/3

10 2/3-1 2/3=9

Answer 2

To simplify the expression 10 2/3 - 5 1/3 : 3 1/5, follow these steps:

Step 1: Convert the mixed numbers into improper fractions.

• 10 2/3 becomes (3 * 10 + 2) / 3 = 32/3.
• 5 1/3 becomes (3 * 5 + 1) / 3 = 16/3.
• 3 1/5 becomes (5 * 3 + 1) / 5 = 16/5.

Step 2: Perform the division operation first.

• 16/3 ÷ 16/5 = (16/3) * (5/16) = (16 * 5) / (3 * 16) = 5/3.

Step 3: Subtract the result of the division from the first improper fraction.

• 32/3 - 5/3 = (32 - 5) / 3 = 27/3 = 9.

Therefore, the simplified expression is 9.