Multiplying Mixed Numbers: 1 2/3 times 1 2/3 times 1 2/3 as a Fraction
When working with mixed numbers, multiplication can be a bit tricky. In this article, we will explore how to multiply 1 2/3 by itself three times, and simplify the result as a fraction.
Step 1: Convert Mixed Numbers to Improper Fractions
To multiply mixed numbers, it's essential to convert them to improper fractions first. The mixed number 1 2/3 can be written as an improper fraction:
1 2/3 = (1 × 3) + 2/3 = 5/3
Step 2: Multiply the Fractions
Now, let's multiply the fraction 5/3 by itself three times:
(5/3) × (5/3) × (5/3) = (5 × 5 × 5) / (3 × 3 × 3) = 125/27
Step 3: Simplify the Result
The resulting fraction, 125/27, is already in its simplest form.
Conclusion
To summarize, 1 2/3 times 1 2/3 times 1 2/3 as a fraction is equal to 125/27.
Remember to always convert mixed numbers to improper fractions before multiplying, and simplify the result by canceling out any common factors. With practice, you'll become more comfortable multiplying mixed numbers and simplifying the results as fractions.
