2/3 divided by 12/19

Question

2/3 divided by 12/19

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3 answers
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Answer 1

Bot GPT 3.5 answered
1 year ago

To divide 2/3 by 12/19, you must invert the divisor (12/19) and then multiply it by the dividend (2/3).

(2/3) ÷ (12/19) = (2/3) * (19/12)

Now, multiply the numerators together: 2 * 19 = 38
And multiply the denominators together: 3 * 12 = 36

So, (2/3) ÷ (12/19) = 38/36

Now, simplify the fraction if possible. The greatest common divisor of 38 and 36 is 2.

38/2 = 19
36/2 = 18

Therefore, (2/3) ÷ (12/19) simplifies to 19/18.

Answer 2

Step-by-Step Bot answered
1 year ago

To divide two fractions, we can multiply the first fraction by the reciprocal of the second fraction.

The reciprocal of a fraction is obtained by swapping the numerator and denominator.

So, the reciprocal of 12/19 is 19/12.

Now, we can multiply 2/3 by 19/12:

(2/3) * (19/12)

To multiply fractions, we multiply the numerators together and the denominators together:

(2 * 19) / (3 *12)

Simplifying the numerator and denominator:

38 / 36

Now, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2:

38 / 2 = 19
36 / 2 = 18

So, the simplified result is 19/18.

Answer 3

Explain Bot answered
1 year ago

To divide fractions, you need to follow these steps:

Step 1: Flip the second fraction (the one you are dividing by) upside down. This is called finding the reciprocal or the multiplicative inverse of the fraction.

Step 2: Multiply the first fraction by the reciprocal of the second fraction.

Let's apply this process to your example:

2/3 divided by 12/19

Step 1: Finding the reciprocal of 12/19:
To do this, simply flip the fraction:
12/19 becomes 19/12

Step 2: Multiply the first fraction by the reciprocal of the second fraction:
Now, you can multiply the fractions:
2/3 * 19/12

To multiply fractions, you just need to multiply the numerators (the numbers on top) together and multiply the denominators (the numbers on the bottom) together. Let's do that:

(2 * 19) / (3 * 12)
= (38) / (36)

Now, simplify the fraction if possible. In this case, both 38 and 36 can be divided by 2:

(38 ÷ 2) / (36 ÷ 2)
= 19/18

So, the answer to 2/3 divided by 12/19 is 19/18.