2 1/4 Divided by 9/10: A Step-by-Step Guide
Dividing mixed numbers can be a bit challenging, but with the right steps, it's definitely manageable. In this article, we'll walk you through the process of dividing 2 1/4 by 9/10.
Converting Mixed Numbers to Improper Fractions
Before we start dividing, let's convert our mixed numbers to improper fractions.
2 1/4 = ?
To convert 2 1/4 to an improper fraction, we'll multiply the whole number part (2) by the denominator (4) and then add the numerator (1).
2 × 4 = 8 8 + 1 = 9
So, 2 1/4 is equal to 9/4.
9/10 = ?
Our second mixed number, 9/10, is already in fraction form, so we don't need to convert it.
Dividing Fractions
Now that we have our improper fractions, we can divide them.
9/4 ÷ 9/10 = ?
To divide fractions, we'll invert the second fraction (i.e., flip the numerator and denominator) and then multiply.
9/4 ÷ 9/10 = 9/4 × 10/9
Multiplying Fractions
Now, let's multiply our fractions.
(9 × 10) / (4 × 9) = 90 / 36
Simplifying the Fraction
We can simplify our fraction by dividing both the numerator and denominator by their greatest common divisor, which is 6.
90 ÷ 6 = 15 36 ÷ 6 = 6
So, our simplified fraction is 15/6.
Converting to a Mixed Number (Optional)
If we want to convert our improper fraction back to a mixed number, we can do so by dividing the numerator by the denominator.
15 ÷ 6 = 2 with a remainder of 3
So, our mixed number equivalent is 2 3/6, which can be further simplified to 2 1/2.
Conclusion
And that's it! We've successfully divided 2 1/4 by 9/10 and arrived at our answer: 15/6 or 2 1/2. Remember to follow these steps whenever you need to divide mixed numbers or fractions.
