What is 2/3 ÷ 12/19?
To divide fractions, you can multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of a fraction is obtained by swapping the numerator and denominator.
So in this case, we have:
2/3 ÷ 12/19 = 2/3 * 19/12
Now we can multiply the numerators together and the denominators together:
(2 * 19) / (3 * 12) = 38/36
The fraction 38/36 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2:
(38 ÷ 2) / (36 ÷ 2) = 19/18
Therefore, 2/3 ÷ 12/19 is equal to 19/18.
To divide fractions, you can follow these steps:
Step 1: Flip the second fraction.
To divide fractions, you need to find the reciprocal of the second fraction. In this case, the second fraction is 12/19, so the reciprocal is 19/12.
Step 2: Multiply the first fraction by the reciprocal of the second fraction.
Now that you have the reciprocal of the second fraction, you can multiply it by the first fraction.
So the calculation becomes:
(2/3) * (19/12)
Step 3: Simplify the fraction.
To simplify the fraction, cancel out any common factors between the numerator of one fraction and the denominator of the other fraction. In this case, there are no common factors between 2 and 12, or 3 and 19 that can be canceled out.
So, the final calculation is:
(2/3) * (19/12) = 38/36
Step 4: Simplify further (if possible).
The fraction 38/36 can be simplified further by canceling out any common factors. In this case, both the numerator and the denominator can be divided by 2.
So, the final answer is:
38/36 = 19/18
To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction. In this case, we have:
2/3 ÷ 12/19
To find the reciprocal of 12/19, simply flip the fraction:
Reciprocal of 12/19 = 19/12
Now, we can rewrite the expression as:
2/3 * 19/12
To multiply fractions, you simply multiply the numerators together and then multiply the denominators together:
(2 * 19) / (3 * 12)
Simplifying the numerator and denominator:
38 / 36
Now, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which in this case is 2:
38 ÷ 2 = 19
36 ÷ 2 = 18
So, the final simplified result is:
19/18