4 1/2 1/3 5 as a Fraction in Simplest Form
When dealing with mixed numbers and fractions, it's essential to understand how to simplify them to their simplest form. In this article, we'll explore how to convert the mixed number 4 1/2 1/3 5 to a fraction in its simplest form.
Breaking Down the Mixed Number
Let's break down the mixed number 4 1/2 1/3 5:
- The whole number part is 4
- The first fraction part is 1/2
- The second fraction part is 1/3
- The last whole number part is 5
Converting to an Improper Fraction
To simplify the mixed number, we need to convert it to an improper fraction. An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
Step 1: Convert the whole number part 4 to a fraction by multiplying it by the least common multiple (LCM) of the denominators, which is 6.
4 × 6 = 24
Step 2: Convert the first fraction part 1/2 to an equivalent fraction with a denominator of 6.
1/2 × 3/3 = 3/6
Step 3: Convert the second fraction part 1/3 to an equivalent fraction with a denominator of 6.
1/3 × 2/2 = 2/6
Step 4: Add the whole number part and the two fraction parts.
24 + 3 + 2 = 29
Step 5: Write the result as an improper fraction.
29/6
Step 6: Add the last whole number part 5 to the improper fraction.
29/6 + 30/6 = 59/6
Simplifying the Fraction
The resulting fraction 59/6 is already in its simplest form. Therefore, the mixed number 4 1/2 1/3 5 in its simplest form as a fraction is:
59/6
In conclusion, by following these steps, we can convert the mixed number 4 1/2 1/3 5 to a fraction in its simplest form, which is 59/6.
