Answer:
5 5/8 divided by 3 3/4 simplifies to 3/2.
Explanation:
To divide 5 5/8 by 3 3/4, we need to convert both mixed numbers to improper fractions.
First, let's convert 5 5/8 to an improper fraction:
5 5/8 = (5 * 8 + 5) / 8 = 45/8
Next, let's convert 3 3/4 to an improper fraction:
3 3/4 = (3 * 4 + 3) / 4 = 15/4
Now, we can divide the two improper fractions:
(45/8) / (15/4)
To divide fractions, we can multiply the first fraction by the reciprocal (or inverse) of the second fraction:
(45/8) * (4/15)
Simplifying the expression, we have:
(45 * 4) / (8 * 15) = 180/120
Finally, we can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 60:
180/120 = (180 ÷ 60) / (120 ÷ 60) = 3/2
Therefore, 5 5/8 divided by 3 3/4 simplifies to 3/2.
Nice...!