What is 2/3÷12/19
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction.
Thus, we have:
2/3 ÷ 12/19 = 2/3 * 19/12
Now, we can multiply the numerators and denominators together:
(2 * 19) / (3 * 12) = 38/36
Now, we can simplify this fraction by finding the greatest common divisor (GCD) of both the numerator and denominator, which is 2:
38/36 = (38/2) / (36/2) = 19/18
Therefore, 2/3 ÷ 12/19 simplifies to 19/18.
To divide fractions, you can follow these steps:
Step 1: Flip the second fraction (the divisor) upside down.
So, 12/19 becomes 19/12.
Step 2: Multiply the first fraction (the dividend) by the flipped second fraction (the reciprocal of the divisor).
2/3 * 19/12 = (2 * 19) / (3 * 12) = 38/36.
Step 3: Simplify the fraction, if possible.
To simplify the fraction, find the greatest common divisor (GCD) of the numerator and denominator, and divide both by it.
The GCD of 38 and 36 is 2.
So, 38/36 simplifies to (38 ÷ 2) / (36 ÷ 2) = 19/18.
Therefore, 2/3 ÷ 12/19 is equal to 19/18.
To solve the expression 2/3 ÷ 12/19, you need to follow a few steps:
Step 1: Flip the second fraction
Take the reciprocal of the second fraction by swapping the numerator and denominator. This will change the division operation to multiplication.
So, 2/3 ÷ 12/19 becomes 2/3 × 19/12.
Step 2: Simplify the fractions
Reduce the fractions to their simplest form. In this case, 2/3 is already in simplest form, but 19/12 can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 1. The simplified fraction 19/12 remains the same.
Step 3: Multiply the fractions
Multiply the numerators and denominators of the fractions together. The expression becomes:
(2 × 19)/(3 × 12) = 38/36.
Step 4: Simplify the result
Reduce the fraction 38/36 to its simplest form. Both the numerator and denominator share a common factor of 2. Divide both numbers by 2:
38/2 ÷ 36/2 = 19/18.
Therefore, the result of 2/3 ÷ 12/19 is equal to 19/18.