Answer:
37/8
Explanation:
To solve the expression 3 3/8 + 1/2 ÷ 4/5 × 2, we follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).
First, let's simplify the expression step by step:
Step 1: Convert the mixed number 3 3/8 to an improper fraction.
3 3/8 = (3 * 8 + 3) / 8 = 27/8
Step 2: Simplify the division 1/2 ÷ 4/5.
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
1/2 ÷ 4/5 = 1/2 * 5/4 = 5/8
Step 3: Multiply the result from Step 2 by 2.
5/8 × 2 = 10/8 = 5/4
Step 4: Add the result from Step 3 to the result from Step 1.
27/8 + 5/4
To add fractions, we need a common denominator. The least common multiple of 8 and 4 is 8. Therefore, we can rewrite the fractions with the common denominator of 8.
27/8 + 5/4 = (27/8) + (10/8) = (27 + 10) / 8 = 37/8
So, the value of the expression 3 3/8 + 1/2 ÷ 4/5 × 2 is 37/8.