21/67 added to 26/6 in Fraction Form

The result of 21/67 added to 26/6 is: 4 130/201

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2167 and 266.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 67 and 6 is 402.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2167 to 126402
Convert 266 to 1742402

Step 4: Add the Numerators

Add the numerators: 126 + 1742 = 1868

Step 5: Simplify the Fraction

We can simplify 1868402 to its lowest form.
The greatest common divisor (GCD) of 1868 and 402 is 2.
Dividing both numerator and denominator by the GCD, we get 934201.

Step 6: Convert to Mixed Number

The fraction 934201 can be written as the mixed number 4130201.

Final Answer

The result of 21/67 added to 26/6 is:

2167+266=4130201

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

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