What is 1 2/3 times 3?
Let's figure out what happens when we multiply the mixed number 1 2/3 by 3.
Step 1: Convert the mixed number to a fraction
First, we need to change the mixed number 1 2/3 into an improper fraction. We can do this by multiplying the whole number (1) by the denominator (3) and then adding the numerator (2). This gives us 1 * 3 + 2 = 5. We keep the same denominator, so our improper fraction is 5/3.
Step 2: Multiply the fractions
Now we have the problem: (5/3) * 3
Since 3 can be written as 3/1, we can multiply the numerators and the denominators:
- (5 * 3) / (3 * 1) = 15/3
Step 3: Simplify the result
Finally, we can simplify the fraction 15/3 by dividing both the numerator and the denominator by their greatest common factor, which is 3:
- 15/3 = 5
Conclusion
Therefore, 1 2/3 times 3 is equal to 5.