67/27 added to 218/4 in Fraction Form

The result of 67/27 added to 218/4 is: 56 53/54

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6727 and 2184.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 27 and 4 is 108.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6727 to 268108
Convert 2184 to 5886108

Step 4: Add the Numerators

Add the numerators: 268 + 5886 = 6154

Step 5: Simplify the Fraction

We can simplify 6154108 to its lowest form.
The greatest common divisor (GCD) of 6154 and 108 is 2.
Dividing both numerator and denominator by the GCD, we get 307754.

Step 6: Convert to Mixed Number

The fraction 307754 can be written as the mixed number 565354.

Final Answer

The result of 67/27 added to 218/4 is:

6727+2184=565354

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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