How do I find the reciprocal of two numbers? If I have two fractions to choose from, how do I choose one as the reciprocal? Ex; 1/3 divided by 5/6. How do I choose one as the reciprocal?
(1/3) / (5/6)
You need to use the reciprocal of the divisor.
(1/3) * (6/5) = ?
To find the reciprocal of a number, you simply invert the fraction or the decimal.
For example, the reciprocal of 2/3 is 3/2 because you invert the numerator and the denominator.
When you have two fractions and you need to choose one as the reciprocal, you usually choose the fraction that you will divide by.
For example, if you have 1/3 divided by 5/6, you want to find the reciprocal of 5/6. So, the reciprocal would be 6/5.
To calculate 1/3 divided by 5/6, you multiply the first fraction by the reciprocal of the second fraction:
1/3 * 6/5 = (1*6) / (3*5) = 6/15 = 2/5
So, 1/3 divided by 5/6 is equal to 2/5.
To find the reciprocal of a number or a fraction, you simply swap the numerator (the top number) and the denominator (the bottom number).
Let's take an example of finding the reciprocal of a fraction. If you have the fraction 2/5, the reciprocal can be found by swapping the numerator and denominator, resulting in 5/2. Similarly, if you have a whole number, you can represent it as a fraction with a denominator of 1, and then swap the numerator and denominator.
Now, let's consider your example: 1/3 divided by 5/6. To simplify this division problem, you can use the reciprocal of the second fraction (5/6) and then multiply it by the first fraction (1/3). This is known as multiplying by the reciprocal.
To find the reciprocal of 5/6, you can swap the numerator and denominator, resulting in 6/5.
So, the division problem 1/3 divided by 5/6 can be rewritten as 1/3 multiplied by the reciprocal of 5/6, which is 6/5.
To calculate the result, you can multiply the numerators (1 * 6 = 6) and the denominators (3 * 5 = 15), resulting in 6/15. This fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3 in this case. Dividing 6 by 3 and 15 by 3 gives us the simplified fraction 2/5.
Therefore, 1/3 divided by 5/6 is equal to 2/5.