Divide 2 2/5 and 2 2/4 in simplest form
To divide these two fractions, we first need to convert the mixed numbers into improper fractions.
2 2/5 can be converted to an improper fraction as follows:
2 * 5 = 10 + 2 = 12
12/5
2 2/4 can be converted to an improper fraction as follows:
2 * 4 = 8 + 2 = 10
10/4
Now, let's divide these two fractions:
12/5 ÷ 10/4
When dividing fractions, we invert the second fraction and multiply:
12/5 * 4/10
To simplify, we can cancel out common factors:
(12/5) * (4/10) = (12 * 4) / (5 * 10) = 48/50
Finally, we can simplify this fraction to simplest form by reducing the numerator and denominator by their greatest common factor, which is 2:
48/50 = (48 ÷ 2) / (50 ÷ 2) = 24/25
Therefore, 2 2/5 divided by 2 2/4 in simplest form is 24/25.