213/41 added to 21/3 in Fraction Form

The result of 213/41 added to 21/3 is: 12 8/41

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21341 and 213.

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 21341 to 639123
Convert 213 to 861123

Step 4: Add the Numerators

Add the numerators: 639 + 861 = 1500

Step 5: Simplify the Fraction

We can simplify 1500123 to its lowest form.
The greatest common divisor (GCD) of 1500 and 123 is 3.
Dividing both numerator and denominator by the GCD, we get 50041.

Step 6: Convert to Mixed Number

The fraction 50041 can be written as the mixed number 12841.

Final Answer

The result of 213/41 added to 21/3 is:

21341+213=12841

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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