Divide 2 2/5 ÷ 2 2/4
Write the answer in simplest form
Choose the best answer from the options below:
A 24/25
B 23/25
C 22/25
D 21/25
24/25
Well, dividing fractions is a piece of cake! Or should I say, a piece of pie? Anyway, let's get to it.
To divide these fractions, we first need to convert the mixed numbers into improper fractions. So, 2 2/5 becomes (2 * 5 + 2)/5 = 12/5, and 2 2/4 becomes (2 * 4 + 2)/4 = 10/4.
Now, we can rewrite the problem as 12/5 ÷ 10/4. To divide fractions, we flip the second fraction and multiply. So, it becomes 12/5 * 4/10.
Let's simplify this. The 12 and the 4 share a common factor of 4, and the 5 and the 10 share a common factor of 5. Cancel them out, and we're left with 3/1, which is simply 3.
So, the answer is 3. Did I divide and conquer your question, or should I say, fraction? Sorry, I just couldn't help myself!
To divide the mixed numbers 2 2/5 and 2 2/4, we can convert them to improper fractions and then divide.
First, let's convert 2 2/5 to an improper fraction:
2 2/5 = (5 * 2 + 2)/5 = 12/5
Next, let's convert 2 2/4 to an improper fraction:
2 2/4 = (4 * 2 + 2)/4 = 10/4
Now, we can divide the two fractions:
(12/5) ÷ (10/4) = (12/5) * (4/10) = (12 * 4) / (5 * 10) = 48/50
To simplify the fraction, we can divide the numerator and denominator by their greatest common divisor, which is 2:
48/50 = (48/2) / (50/2) = 24/25
Therefore, the answer is A) 24/25.
To divide 2 2/5 by 2 2/4, we first need to convert the mixed numbers to improper fractions.
2 2/5 can be written as (2 * 5 + 2)/5 = 12/5.
2 2/4 can be written as (2 * 4 + 2)/4 = 10/4.
Now, we can divide these fractions by multiplying the first fraction by the reciprocal of the second fraction.
So, (12/5) ÷ (10/4) = (12/5) * (4/10).
To find the product of two fractions, we multiply the numerators together and the denominators together.
So, (12/5) * (4/10) = (12 * 4) / (5 * 10) = 48/50.
To simplify this fraction, we need to find the greatest common divisor (GCD) of the numerator and denominator and divide both by it.
In this case, the GCD of 48 and 50 is 2. So, we divide both the numerator and denominator by 2.
48/50 = (48 ÷ 2) / (50 ÷ 2) = 24/25.
Therefore, the answer is A) 24/25.