55/41 added to 213/3 in Fraction Form

The result of 55/41 added to 213/3 is: 72 14/41

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 5541 and 2133.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 41 and 3 is 123.

Step 3: Convert Fractions to Equivalent Fractions

Convert 5541 to 165123
Convert 2133 to 8733123

Step 4: Add the Numerators

Add the numerators: 165 + 8733 = 8898

Step 5: Simplify the Fraction

We can simplify 8898123 to its lowest form.
The greatest common divisor (GCD) of 8898 and 123 is 3.
Dividing both numerator and denominator by the GCD, we get 296641.

Step 6: Convert to Mixed Number

The fraction 296641 can be written as the mixed number 721441.

Final Answer

The result of 55/41 added to 213/3 is:

5541+2133=721441

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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