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
To solve this problem, we first need to convert the mixed numbers (2 2/5 and 2 2/4) into improper fractions.
2 2/5 can be rewritten as (5*2 + 2)/5 = 12/5
2 2/4 can be rewritten as (4*2 + 2)/4 = 10/4
Now, we can divide the two fractions:
12/5 ÷ 10/4
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction:
12/5 * 4/10
Simplifying, we get:
48/50
Now we can reduce this fraction to its simplest form by dividing both the numerator and denominator by their greatest common divisor, which is 2:
48/50 = 24/25
So, the answer is A) 24/25.
To divide 2 2/5 by 2 2/4, follow these steps:
Step 1: Convert the mixed fractions to improper fractions.
2 2/5 = (5 * 2 + 2)/5 = 12/5
2 2/4 = (4 * 2 + 2)/4 = 10/4
Step 2: Invert the second fraction and multiply.
12/5 ÷ 4/10 = 12/5 * 10/4 = (12 * 10)/(5 * 4) = 120/20
Step 3: Simplify the fraction.
To simplify, divide both the numerator and denominator by their greatest common divisor, which is 20 in this case.
120/20 ÷ 20/20 = (120 ÷ 20)/(20 ÷ 20) = 6/1 = 6
So, the simplified answer is 6.
Therefore, the correct answer is not provided among the options.