2 1/2 ÷ 1 1/4: How to Divide Mixed Numbers
Dividing mixed numbers can be a bit tricky, but with the right steps, you can master this skill. In this article, we will explore how to divide 2 1/2 by 1 1/4.
Step 1: Convert Mixed Numbers to Improper Fractions
To divide mixed numbers, we need to convert them to improper fractions first. An improper fraction is a fraction where the numerator is greater than the denominator.
2 1/2 = 5/2 (convert 2 to 4/2 and add 1/2)
1 1/4 = 5/4 (convert 1 to 4/4 and add 1/4)
Step 2: Divide the Improper Fractions
Now that we have the improper fractions, we can divide them.
5/2 ÷ 5/4 = ?
To divide fractions, we need to invert the second fraction (i.e., flip the numerator and denominator) and then multiply.
5/2 ÷ 5/4 = 5/2 × 4/5
Step 3: Multiply the Fractions
Now, let's multiply the fractions.
5/2 × 4/5 = 20/10
Step 4: Simplify the Fraction
Finally, let's simplify the fraction.
20/10 = 2
So, 2 1/2 ÷ 1 1/4 = 2.
Conclusion
Dividing mixed numbers requires converting them to improper fractions, dividing the fractions, multiplying, and simplifying. By following these steps, you can easily divide mixed numbers and get the correct answer.
