3 1/2 divided by 1 1/3: How to Calculate the Result
When it comes to dividing mixed numbers, it can be a bit tricky. But don't worry, we're here to help you solve the problem of 3 1/2 divided by 1 1/3.
Understanding Mixed Numbers
Before we dive into the calculation, let's quickly review what mixed numbers are. A mixed number is a combination of a whole number and a fraction. For example, 3 1/2 is a mixed number because it has a whole number part (3) and a fractional part (1/2).
Converting Mixed Numbers to Improper Fractions
To divide mixed numbers, it's easier to convert them to improper fractions first. An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
Let's convert our mixed numbers to improper fractions:
- 3 1/2 = 7/2
- 1 1/3 = 4/3
Dividing Improper Fractions
Now that we have our improper fractions, we can divide them. To divide fractions, we need to invert the second fraction (i.e., flip the numerator and denominator) and then multiply:
- 7/2 ÷ 4/3 = 7/2 × 3/4
Simplifying the Result
Now, let's simplify our result:
- 7/2 × 3/4 = 21/8
So, 3 1/2 divided by 1 1/3 is equal to 21/8.
Conclusion
Dividing mixed numbers can be a bit challenging, but by converting them to improper fractions and then dividing, we can get the correct result. Remember to invert and multiply when dividing fractions, and simplify your result at the end. With practice, you'll become a pro at dividing mixed numbers!
