Converting 5 1/5 1/3 4 to a Fraction in Simplest Form
Sometimes, we come across mixed numbers and fractions that need to be simplified. In this article, we will discuss how to convert 5 1/5 1/3 4 to a fraction in its simplest form.
Breaking Down the Number
Let's break down the given number into its components:
- 5: This is the whole number part.
- 1/5: This is the first fraction part.
- 1/3: This is the second fraction part.
- 4: This is another whole number part.
Converting to a Single Fraction
To convert this mixed number to a single fraction, we need to follow these steps:
Step 1: Convert the Whole Number Part to a Fraction
The whole number part is 5, which can be written as a fraction: 5/1.
Step 2: Add the First Fraction Part
We add the first fraction part, 1/5, to the whole number part:
5/1 + 1/5 = (5 × 5) / 5 + 1/5 = 26/5 + 1/5 = 27/5
Step 3: Add the Second Fraction Part
Next, we add the second fraction part, 1/3, to the result:
27/5 + 1/3 = (27 × 3) / 15 + 5/15 = 86/15 + 5/15 = 91/15
Step 4: Add the Remaining Whole Number Part
Finally, we add the remaining whole number part, 4, to the result:
91/15 + 4 = (91 × 1) / 15 + 60/15 = 151/15
Simplifying the Fraction
The resulting fraction, 151/15, is already in its simplest form. We can't simplify it further.
Conclusion
Therefore, the mixed number 5 1/5 1/3 4 can be converted to a fraction in its simplest form as:
151/15
This is the final answer.
