How do I divide 5/14÷23/36? this is driving me crazy, can anyone explain how to do this problem?
(5/14)÷(23/36)
= (5/14)(36/23)
= 180/322
= 90/161
http://www.mathsisfun.com/fractions_division.html
To divide fractions, you can use the following steps:
1. Invert the second fraction: To divide fractions, you need to take the reciprocal of the second fraction (the divisor). In this case, the reciprocal of 23/36 is 36/23.
2. Multiply the numerators: Multiply the numerators (top numbers) of the two fractions together. So, multiply 5/14 with 36/23. The numerator of the result would be (5 * 36).
3. Multiply the denominators: Multiply the denominators (bottom numbers) of the two fractions together. So, multiply 14 with 23. The denominator of the result would be (14 * 23).
4. Simplify the result: Divide the numerator and the denominator by their greatest common divisor (GCD) if possible.
Let's go through the calculations:
Step 1: Invert the second fraction:
23/36 becomes 36/23.
Step 2: Multiply the numerators:
5/14 multiplied by 36/23 equals (5 * 36)/(14 * 23).
Step 3: Multiply the denominators:
14 * 23 equals 322.
Step 4: Simplify the result (if possible):
Since the numerator (180) and the denominator (322) do not share any common factors other than 1, the fraction cannot be simplified further.
So, the final answer is 180/322.
However, the fraction can be further simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2. Divide 180 and 322 by 2 to get the simplest form of the fraction.
The simplified fraction is 90/161.
Therefore, 5/14 ÷ 23/36 is equal to 90/161.