Divide 2 2/5 ÷ 2 2/4

Question

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

Answer 1

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.