What is 2/3÷12/19 ?
To divide by a fraction, you can multiply by its reciprocal.
The reciprocal of 12/19 is 19/12.
Therefore, the expression 2/3 ÷ 12/19 is equivalent to (2/3) * (19/12).
Multiplying the numerators and denominators gives us:
(2 * 19) / (3 * 12) = 38/36.
The fraction 38/36 can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 2.
(38 ÷ 2) / (36 ÷ 2) = 19/18.
So, 2/3 ÷ 12/19 is equal to 19/18.
To solve the division problem 2/3 ÷ 12/19, you can follow these steps:
Step 1: Invert the divisor (the second fraction).
So, 12/19 becomes 19/12.
Step 2: Multiply the dividend (the first fraction) by the reciprocal of the divisor.
Multiply 2/3 by 19/12.
Step 3: Simplify the resulting fraction, if possible.
To simplify, find the greatest common divisor (GCD) of both the numerator and the denominator and divide both by the GCD.
Therefore, the solution is:
(2/3) ÷ (12/19) = (2/3) * (19/12)
= (38/36)
= (19/18), after simplification.
To find the result of the expression 2/3 ÷ 12/19, we can follow these steps:
Step 1: Understanding the ÷ Operator
The ÷ symbol represents division. So, 2/3 ÷ 12/19 is equivalent to (2/3) / (12/19).
Step 2: Convert ÷ to Multiplication
In order to divide fractions, we can convert the division operation to multiplication. To do this, we take the reciprocal (flip) of the second fraction, making it the divisor. Therefore, we can rewrite the expression as (2/3) * (19/12).
Step 3: Multiply the Fractions
To multiply the two fractions, we multiply the numerators (top numbers) to get the new numerator and the denominators (bottom numbers) to get the new denominator. So, (2/3) * (19/12) equals (2 * 19) / (3 * 12).
Step 4: Simplify the Result
In the numerator, 2 * 19 equals 38, and in the denominator, 3 * 12 equals 36. Therefore, the expression simplifies to 38/36.
Step 5: Reduce the Fraction
To get the simplest form of the fraction, we can reduce it by dividing both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 38 and 36 is 2. So, by dividing both numbers by 2, we get (38 ÷ 2) / (36 ÷ 2), which simplifies to 19/18.
Therefore, the result of the expression 2/3 ÷ 12/19 is 19/18.