Final answer:
Dividing 4 by 3/4 involves multiplying 4 by the reciprocal of 3/4, which is 4/3. The calculation yields 4 x 4/3, resulting in 16/3 or approximately 5.33 as the final answer.
Step-by-step explanation:
To find what 4 divided by 3/4 is, we first need to understand the operation. In mathematics, when you divide by a fraction, you actually multiply by its reciprocal. The reciprocal of 3/4 is 4/3. So, 4 divided by 3/4 is the same as 4 multiplied by 4/3.
Step-by-step calculation:
1. Write the original division problem: 4 ÷ 3/4.
2. Convert the division into multiplication by the reciprocal: 4 × 4/3.
3. Perform the multiplication: (4 × 4) / 3 = 16/3.
4. Simplify if possible. Since 16/3 is already in its simplest form, that is the final answer.
The resulting answer from this calculation is 16/3 or approximately 5.33. Therefore, when you divide 4 by 3/4, you get 16/3 as the result.