What is 2/3÷12/19 ?
To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction.
First, invert the second fraction, 12/19, to get 19/12.
Then, multiply the first fraction, 2/3, by the reciprocal 19/12.
(2/3) * (19/12)
To simplify the multiplication, we can cancel common factors between the numerators and denominators:
(2 * 19) / (3 * 12)
The numerator simplifies to 38 and the denominator simplifies to 36.
So, the answer is 38/36 which can be further simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2:
38/36 = (38 ÷ 2) / (36 ÷ 2) = 19/18
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction. In this case, we want to divide 2/3 by 12/19.
Step 1: Find the reciprocal of the second fraction: The reciprocal of 12/19 is 19/12.
Step 2: Multiply the first fraction by the reciprocal of the second fraction: (2/3) * (19/12).
Step 3: Multiply the numerators together: 2 * 19 = 38.
Step 4: Multiply the denominators together: 3 * 12 = 36.
Step 5: Simplify the fraction if possible: The fraction 38/36 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2. The simplified fraction is 19/18.
So, 2/3 divided by 12/19 is equal to 19/18.
To find the solution to the expression 2/3 ÷ 12/19, we can follow these steps:
Step 1: When dividing fractions, we can simplify the expression by multiplying the first fraction by the reciprocal of the second fraction.
Step 2: The reciprocal of a fraction is obtained by swapping the numerator and the denominator.
Step 3: In this case, we need to find the reciprocal of 12/19, which is 19/12.
Step 4: Now, we can rewrite the expression as 2/3 * 19/12.
Step 5: To multiply fractions, we multiply the numerators together and the denominators together.
Step 6: Multiplying 2/3 by 19/12, we get (2 * 19) / (3 * 12) = 38/36.
Step 7: Finally, we can simplify the resulting fraction by finding the greatest common divisor (GCD) of the numerator and denominator, and then dividing both by it. In this case, the GCD of 38 and 36 is 2.
Step 8: Dividing 38 by 2 and 36 by 2, we get the simplified fraction 19/18.
Therefore, the solution to 2/3 ÷ 12/19 is 19/18.