What is 2/3÷12/19
To divide fractions, we need to invert (or reciprocate) the second fraction and then multiply.
2/3 ÷ 12/19
= 2/3 × 19/12
= (2 × 19) / (3 × 12)
= 38/36
Simplifying the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2:
= (38 ÷ 2) / (36 ÷ 2)
= 19/18
To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction.
Step 1: Flip the second fraction (the divisor) and change the division sign to a multiplication sign.
12/19 becomes 19/12.
Step 2: Multiply the two fractions.
2/3 × 19/12
Step 3: Multiply the numerators together: 2 × 19 = 38.
Multiplying the denominators: 3 × 12 = 36.
Step 4: Simplify the resulting 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.
38 ÷ 2 = 19
36 ÷ 2 = 18
Thus, the final result is 19/18.
To solve the division of fractions problem, 2/3 ÷ 12/19, you can follow these steps:
Step 1: Flip the second fraction
To divide two fractions, flip the second fraction. In this case, the second fraction is 12/19, so we need to flip it to become 19/12.
Step 2: Multiply the fractions
Once you've flipped the second fraction, you can multiply the fractions together. Multiply the numerator of the first fraction with the numerator of the second fraction and the denominator of the first fraction with the denominator of the second fraction.
2/3 * 19/12 = (2 * 19) / (3 * 12)
Simplifying further:
38/36
Step 3: Reduce the fraction (if needed)
If possible, simplify or reduce the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD).
In this case, both the numerator (38) and denominator (36) are even numbers. So, we can divide them both by 2:
38/36 = 19/18
So, the result of 2/3 ÷ 12/19 is 19/18.