2 1/2 Divided by 1 1/2: A Step-by-Step Guide
Are you struggling to divide mixed numbers? Don't worry, we've got you covered! In this article, we'll walk you through the process of dividing 2 1/2 by 1 1/2.
Converting Mixed Numbers to Improper Fractions
Before we dive into the division process, let's convert both mixed numbers to improper fractions.
2 1/2 = ?
To convert 2 1/2 to an improper fraction, we multiply the whole number part (2) by the denominator (2) and then add the numerator (1). This gives us:
2 × 2 + 1 = 4 + 1 = 5/2
1 1/2 = ?
Similarly, to convert 1 1/2 to an improper fraction, we multiply the whole number part (1) by the denominator (2) and then add the numerator (1). This gives us:
1 × 2 + 1 = 2 + 1 = 3/2
Dividing Improper Fractions
Now that we have both mixed numbers converted to improper fractions, we can divide them.
5/2 ÷ 3/2 = ?
To divide fractions, we invert the second fraction (i.e., flip the numerator and denominator) and then multiply.
5/2 × 2/3 = ?
Multiply the numerators and denominators separately:
Numerator: 5 × 2 = 10 Denominator: 2 × 3 = 6
Result: 10/6
Simplifying the Result
The resulting fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD).
GCD of 10 and 6 = 2
Divide both numbers by 2:
10 ÷ 2 = 5 6 ÷ 2 = 3
Final Answer: 5/3
There you have it! 2 1/2 divided by 1 1/2 is equal to 5/3.
