21/171 added to 67/3 in Fraction Form

The result of 21/171 added to 67/3 is: 22 26/57

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21171 and 673.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 171 and 3 is 171.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21171 to 21171
Convert 673 to 3819171

Step 4: Add the Numerators

Add the numerators: 21 + 3819 = 3840

Step 5: Simplify the Fraction

We can simplify 3840171 to its lowest form.
The greatest common divisor (GCD) of 3840 and 171 is 3.
Dividing both numerator and denominator by the GCD, we get 128057.

Step 6: Convert to Mixed Number

The fraction 128057 can be written as the mixed number 222657.

Final Answer

The result of 21/171 added to 67/3 is:

21171+673=222657

Understanding Fraction Addition

How to Add Fractions

To add fractions, you need to ensure they have a common denominator. Then add the numerators:

ab+cd=ad+bcbd (when denominators are different)

Or simply ab+cb=a+cb (when denominators are the same)

Why Simplify Fractions?

Simplifying fractions makes them easier to work with and understand. A fraction is in its simplest form when the numerator and denominator have no common factors other than 1.

To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).

Fraction Calculator

Calculate operations between any two fractions: