Fraction Multiplication: 1 1/3 × 1 3/4
In this article, we will learn how to multiply mixed numbers, specifically 1 1/3 and 1 3/4. Before we dive into the multiplication process, let's understand what mixed numbers are and how to convert them into improper fractions.
What are Mixed Numbers?
A mixed number is a combination of a whole number and a fraction. It is a way to express a value that is greater than a whole number but less than the next whole number. For example, 1 1/3 is a mixed number, where 1 is the whole number part and 1/3 is the fractional part.
Converting Mixed Numbers to Improper Fractions
To multiply mixed numbers, we need to convert them into improper fractions first. An improper fraction is a fraction where the numerator is greater than the denominator.
Let's convert our mixed numbers into improper fractions:
- 1 1/3 = (1 × 3) + 1 = 4/3
- 1 3/4 = (1 × 4) + 3 = 7/4
Multiplying Improper Fractions
Now that we have converted our mixed numbers into improper fractions, we can multiply them:
(4/3) × (7/4) = (4 × 7) / (3 × 4) = 28/12
Simplifying the Fraction
We can simplify the fraction 28/12 by dividing both the numerator and the denominator by their greatest common divisor, which is 4:
28 ÷ 4 = 7 12 ÷ 4 = 3
So, the result of multiplying 1 1/3 and 1 3/4 is:
7/3
Now you know how to multiply mixed numbers! Remember to convert them into improper fractions first, then multiply, and finally simplify the result.
