5 1/3 x 5 1/3 x 5 1/3 as a Fraction
When dealing with mixed numbers and fractions, calculations can become complex and confusing. In this article, we will explore how to calculate the value of 5 1/3 x 5 1/3 x 5 1/3 as a fraction.
Step 1: Convert Mixed Numbers to Improper Fractions
To begin, we need to convert each mixed number to an improper fraction. An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
5 1/3 can be converted to an improper fraction as follows:
5 1/3 = 16/3
Repeat this process for each of the three mixed numbers:
5 1/3 x 5 1/3 x 5 1/3 = 16/3 x 16/3 x 16/3
Step 2: Multiply the Fractions
Now, multiply the three fractions together:
(16/3) x (16/3) x (16/3) = (16 x 16 x 16) / (3 x 3 x 3) = 4096 / 27
Step 3: Simplify the Fraction
The resulting fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD). The GCD of 4096 and 27 is 1, so the fraction is already in its simplest form:
4096 / 27
Therefore, 5 1/3 x 5 1/3 x 5 1/3 as a fraction is equal to 4096/27.
Conclusion
In conclusion, converting mixed numbers to improper fractions and multiplying them together can lead to complex calculations. However, by following the steps outlined above, we can simplify the process and arrive at the correct answer.
