35/213 added to 41/3 in Fraction Form

The result of 35/213 added to 41/3 is: 13 59/71

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 35213 and 413.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 213 and 3 is 213.

Step 3: Convert Fractions to Equivalent Fractions

Convert 35213 to 35213
Convert 413 to 2911213

Step 4: Add the Numerators

Add the numerators: 35 + 2911 = 2946

Step 5: Simplify the Fraction

We can simplify 2946213 to its lowest form.
The greatest common divisor (GCD) of 2946 and 213 is 3.
Dividing both numerator and denominator by the GCD, we get 98271.

Step 6: Convert to Mixed Number

The fraction 98271 can be written as the mixed number 135971.

Final Answer

The result of 35/213 added to 41/3 is:

35213+413=135971

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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