2/3 divided by 12/9
To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by flipping the numerator and the denominator.
So, to divide 2/3 by 12/9, you multiply 2/3 by the reciprocal of 12/9, which is 9/12:
(2/3) * (9/12) = (2*9)/(3*12) = 18/36
However, fractions can be simplified, so you can divide both the numerator and the denominator by their greatest common divisor, which in this case is 18.
18/36 can be simplified to 1/2.
Therefore, 2/3 divided by 12/9 is equal to 1/2.
To divide fractions, we need to follow these steps:
Step 1: Flip the second fraction (the divisor).
Step 2: Change the division sign to a multiplication sign.
Step 3: Multiply the two fractions.
Let's apply these steps to 2/3 divided by 12/9:
Step 1: Flip the second fraction (12/9) to get 9/12.
Step 2: Change the division sign to a multiplication sign, so we have 2/3 multiplied by 9/12.
Step 3: Multiply the two fractions:
- Multiply the numerators: 2 x 9 = 18.
- Multiply the denominators: 3 x 12 = 36.
So, the final result is 18/36.
However, we can simplify this fraction further by reducing it to the lowest terms. In this case, both 18 and 36 can be divided by 18:
- Divide the numerator by 18: 18/18 = 1.
- Divide the denominator by 18: 36/18 = 2.
So, the simplified form of 18/36 is 1/2.
Therefore, 2/3 divided by 12/9 equals 1/2.
To divide fractions, we invert the second fraction and then multiply the two fractions together.
First, let's invert the second fraction, which means we swap the numerator and denominator to get 9/12.
Now we can multiply the fractions:
(2/3) * (9/12)
To multiply, we simply multiply the numerators together and the denominators together:
(2 * 9) / (3 * 12) = 18/36
The fraction 18/36 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 18 in this case:
18/18 divided by 36/18 = 1/2
So, the result of 2/3 divided by 12/9 is 1/2.