213/41 added to 44/4 in Fraction Form

The result of 213/41 added to 44/4 is: 16 8/41

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21341 and 444.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 41 and 4 is 164.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21341 to 852164
Convert 444 to 1804164

Step 4: Add the Numerators

Add the numerators: 852 + 1804 = 2656

Step 5: Simplify the Fraction

We can simplify 2656164 to its lowest form.
The greatest common divisor (GCD) of 2656 and 164 is 4.
Dividing both numerator and denominator by the GCD, we get 66441.

Step 6: Convert to Mixed Number

The fraction 66441 can be written as the mixed number 16841.

Final Answer

The result of 213/41 added to 44/4 is:

21341+444=16841

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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