Final answer:
To calculate 4/3 divided by 2/3, you multiply 4/3 by the reciprocal of 2/3, which is 3/2. After multiplying the numerators (4 × 3) and denominators (3 × 2), you get 12/6, which simplifies to 2.
Step-by-step explanation:
To calculate 4/3 ÷ 2/3 and reduce to lowest terms, you need to understand how division of fractions works. Essentially, dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of 2/3 is 3/2. So, we need to multiply 4/3 by 3/2.
Here's the step-by-step solution:
- Multiply the numerators: 4 × 3 = 12.
- Multiply the denominators: 3 × 2 = 6.
- Combine the results: 12/6.
- Simplify the fraction by dividing both numerator and denominator by the greatest common factor. In this case, divide by 6.
- Reduced to lowest terms, the answer is 2/1, which is simply 2.
When your units cancel out correctly, you are ready to do the math. You can simplify the equations before doing the operations to make the calculations more straightforward.