Compute: 1/2÷2/3 . Simplify the answer if possible.
To divide fractions, you multiply the first fraction by the reciprocal of the second fraction.
Reciprocal of 2/3 = 3/2
Therefore, 1/2 ÷ 2/3 = 1/2 * 3/2
Multiplying the numerators and denominators, we get:
(1 * 3) / (2 * 2) = 3/4
So, 1/2 ÷ 2/3 simplifies to 3/4.
To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction.
Reciprocal of 2/3 is 3/2.
So, 1/2 ÷ 2/3 can be rewritten as 1/2 * 3/2.
Now let's multiply the numerators and denominators:
1 * 3 = 3
2 * 2 = 4
Therefore, the simplified answer is 3/4.
To compute the division 1/2 ÷ 2/3, you can follow these steps:
Step 1: Invert the second fraction (the divisor) and change division to multiplication.
- The inverse of 2/3 is 3/2.
- So, the division 1/2 ÷ 2/3 can be written as 1/2 * 3/2.
Step 2: Multiply the fractions.
- Multiply the numerators: 1 * 3 = 3.
- Multiply the denominators: 2 * 2 = 4.
- The result is 3/4.
So, the answer is 3/4.