5/3 divided by 3/2

in its simplest form please

To simplify the expression 5/3 divided by 3/2, we can multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 3/2 is 2/3.

So, multiplying 5/3 by 2/3, we get:

(5/3) * (2/3) = (5*2) / (3*3) = 10/9

Therefore, 5/3 divided by 3/2 in its simplest form is 10/9.

To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction.

Step 1: Find the reciprocal of the second fraction.
The reciprocal of 3/2 is 2/3.

Step 2: Multiply the first fraction by the reciprocal.
5/3 * 2/3

Step 3: Multiply the numerators (top numbers) together to get the new numerator.
5 * 2 = 10

Step 4: Multiply the denominators (bottom numbers) together to get the new denominator.
3 * 3 = 9

Step 5: Simplify the resulting fraction, if possible.
The fraction 10/9 cannot be simplified any further.

So, 5/3 divided by 3/2 is equal to 10/9 in its simplest form.

To divide two fractions, you can follow these steps:

Step 1: Invert the second fraction (the divisor) by swapping the numerator and denominator. In this case, the second fraction is 3/2, so its inverse is 2/3.

Step 2: Multiply the first fraction (the dividend) by the inverse of the second fraction. So, multiply 5/3 by 2/3.

5/3 * 2/3 = (5 * 2) / (3 * 3) = 10/9.

The result, 10/9, is the division of 5/3 by 3/2. To simplify it, you can check if the numerator and denominator have any common factors. In this case, the numbers 10 and 9 have no common factors other than 1. Therefore, the fraction 10/9 is in its simplest form and cannot be simplified further.