6/213 added to 13/4 in Fraction Form

The result of 6/213 added to 13/4 is: 3 79/284

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6213 and 134.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 213 and 4 is 852.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6213 to 24852
Convert 134 to 2769852

Step 4: Add the Numerators

Add the numerators: 24 + 2769 = 2793

Step 5: Simplify the Fraction

We can simplify 2793852 to its lowest form.
The greatest common divisor (GCD) of 2793 and 852 is 3.
Dividing both numerator and denominator by the GCD, we get 931284.

Step 6: Convert to Mixed Number

The fraction 931284 can be written as the mixed number 379284.

Final Answer

The result of 6/213 added to 13/4 is:

6213+134=379284

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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