Multiplying fractions and mixed numbers can be a daunting task, especially for those who struggle with math. However, with the right approach and a clear understanding of the concepts, multiplying mixed numbers can become a breeze. We’ll take a closer look at the multiplication of 1 1/3 and 1 3/4, breaking down the steps and providing a simple, easy-to-follow solution.
Converting Mixed Numbers to Improper Fractions
Before we can multiply 1 1/3 and 1 3/4, we need to convert these mixed numbers to improper fractions. An improper fraction is a fraction where the numerator is greater than the denominator.
1. Convert 1 1/3 to an improper fraction:
1 1/3 = (1 x 3) + 1/3 = 4/3
2. Convert 1 3/4 to an improper fraction:
1 3/4 = (1 x 4) + 3/4 = 7/4
Multiplying Improper Fractions
Now that we have our improper fractions, we can multiply them together.
(4/3) x (7/4) = ?
To multiply fractions, we multiply the numerators (4 and 7) and multiply the denominators (3 and 4).
(4 x 7) / (3 x 4) = 28/12
Simplifying the Result
Our result, 28/12, can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 4.
28 ÷ 4 = 7
12 ÷ 4 = 3
So, our simplified result is:
28/12 = 7/3
Converting the Result Back to a Mixed Number
Finally, we can convert our improper fraction back to a mixed number.
7/3 = 2 1/3
And there you have it! The result of multiplying 1 1/3 and 1 3/4 is 2 1/3.
In conclusion, multiplying mixed numbers like 1 1/3 and 1 3/4 can seem intimidating at first, but by breaking down the steps and converting the mixed numbers to improper fractions, we can simplify the process and arrive at the correct solution.
