67/51 added to 208/4 in Fraction Form

The result of 67/51 added to 208/4 is: 53 16/51

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6751 and 2084.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 51 and 4 is 204.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6751 to 268204
Convert 2084 to 10608204

Step 4: Add the Numerators

Add the numerators: 268 + 10608 = 10876

Step 5: Simplify the Fraction

We can simplify 10876204 to its lowest form.
The greatest common divisor (GCD) of 10876 and 204 is 4.
Dividing both numerator and denominator by the GCD, we get 271951.

Step 6: Convert to Mixed Number

The fraction 271951 can be written as the mixed number 531651.

Final Answer

The result of 67/51 added to 208/4 is:

6751+2084=531651

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).

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