69/214 added to 13/6 in Fraction Form

The result of 69/214 added to 13/6 is: 2 157/321

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 69214 and 136.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 214 and 6 is 642.

Step 3: Convert Fractions to Equivalent Fractions

Convert 69214 to 207642
Convert 136 to 1391642

Step 4: Add the Numerators

Add the numerators: 207 + 1391 = 1598

Step 5: Simplify the Fraction

We can simplify 1598642 to its lowest form.
The greatest common divisor (GCD) of 1598 and 642 is 2.
Dividing both numerator and denominator by the GCD, we get 799321.

Step 6: Convert to Mixed Number

The fraction 799321 can be written as the mixed number 2157321.

Final Answer

The result of 69/214 added to 13/6 is:

69214+136=2157321

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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