20/69 added to 218/4 in Fraction Form

The result of 20/69 added to 218/4 is: 54 109/138

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2069 and 2184.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 69 and 4 is 276.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2069 to 80276
Convert 2184 to 15042276

Step 4: Add the Numerators

Add the numerators: 80 + 15042 = 15122

Step 5: Simplify the Fraction

We can simplify 15122276 to its lowest form.
The greatest common divisor (GCD) of 15122 and 276 is 2.
Dividing both numerator and denominator by the GCD, we get 7561138.

Step 6: Convert to Mixed Number

The fraction 7561138 can be written as the mixed number 54109138.

Final Answer

The result of 20/69 added to 218/4 is:

2069+2184=54109138

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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