Calculating 1 2/3 times 3/5
This article will guide you through the process of multiplying a mixed number, 1 2/3, by a fraction, 3/5.
Understanding Mixed Numbers
Before we start, let's understand what a mixed number is. A mixed number combines a whole number and a fraction. In our case, 1 2/3 represents one whole and two-thirds.
Converting the Mixed Number
To multiply a mixed number by a fraction, it's easier to convert the mixed number into an improper fraction. Here's how:
- Multiply the whole number by the denominator: 1 x 3 = 3
- Add the numerator: 3 + 2 = 5
- Keep the same denominator: 5/3
Now, we have 1 2/3 represented as 5/3.
Multiplying Fractions
Now we can multiply 5/3 by 3/5. Remember that to multiply fractions, we multiply the numerators and the denominators:
(5/3) x (3/5) = (5 x 3) / (3 x 5)
Simplifying the Result
Simplifying the product, we get:
15/15 = 1
Final Answer
Therefore, 1 2/3 times 3/5 equals 1.