What is 2/3 ÷ 12/19
To divide two fractions, you need to multiply the first fraction by the reciprocal of the second.
So, 2/3 ÷ 12/19 can be written as:
2/3 * 19/12
Multiplying the numerators (2 * 19) and the denominators (3 * 12), we get:
38/36
This fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2:
38 ÷ 2 / 36 ÷ 2
This simplifies to:
19/18
So, 2/3 ÷ 12/19 equals 19/18.
To divide two fractions, you can multiply the first fraction by the reciprocal of the second fraction. In this case, we have:
2/3 ÷ 12/19
Reciprocal of 12/19 = 19/12
So, we can rewrite the expression as:
2/3 × 19/12
Now, simplify by multiplying the numerators and denominators:
(2 × 19) / (3 × 12)
This becomes:
38/36
Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 2:
(38 ÷ 2) / (36 ÷ 2)
This simplifies to:
19/18
Therefore, 2/3 ÷ 12/19 is equal to 19/18.
To find the quotient of two fractions, we need to follow a few steps. Here's how you can calculate 2/3 ÷ 12/19:
Step 1: Flip the second fraction
To divide fractions, we need to flip the second fraction (the divisor) and turn it into its reciprocal. So, the reciprocal of 12/19 is 19/12.
Step 2: Multiply the fractions
Once we have the reciprocal, we can multiply the first fraction (the dividend) by the reciprocal of the second fraction. Multiply the numerators (top numbers) together and the denominators (bottom numbers) together.
(2/3) * (19/12) = (2 * 19) / (3 * 12)
Step 3: Simplify, if possible
Now, let's simplify the resulting fraction if needed. Find the greatest common divisor (GCD) of the numerator and denominator (the largest number that can divide both numbers evenly) and divide them by it.
The GCD of 2 and 3 is 1, so the numerator remains 2. The GCD of 19 and 12 is 1 as well, so the denominator remains 12.
The simplified fraction is 2/12.
Step 4: Further simplify, if necessary
Finally, let's reduce the fraction to its simplest form by dividing both the numerator and denominator by their greatest common divisor, which is 2.
2 ÷ 2 = 1 (numerator)
12 ÷ 2 = 6 (denominator)
Therefore, the simplified result of 2/3 ÷ 12/19 is 1/6.