166 2/3 as a Fraction in Simplest Form
Introduction
In this article, we will explore how to convert the mixed number 166 2/3 into a fraction in its simplest form. A mixed number is a combination of a whole number and a fraction. To convert a mixed number into a fraction, we need to follow some simple steps.
Converting the Mixed Number
The mixed number 166 2/3 can be broken down into two parts: the whole number part (166) and the fraction part (2/3).
Step 1: Convert the Whole Number Part
To convert the whole number part into a fraction, we need to divide the whole number by 1.
166 ÷ 1 = 166/1
Step 2: Convert the Fraction Part
The fraction part is already in its simplest form, so we don't need to do anything to it.
Step 3: Add the Whole Number Part and the Fraction Part
To add the whole number part and the fraction part, we need to find the least common multiple (LCM) of the denominators. In this case, the LCM is 3.
So, we can rewrite the whole number part as:
166/1 = (166 × 3)/3 = 498/3
Now, we can add the two fractions:
498/3 + 2/3 = 500/3
Simplifying the Fraction
The fraction 500/3 is already in its simplest form.
Therefore, the mixed number 166 2/3 can be written as a fraction in its simplest form as:
500/3
This is the final answer.
