136/101 added to 6/4 in Fraction Form

The result of 136/101 added to 6/4 is: 2 171/202

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 136101 and 64.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 101 and 4 is 404.

Step 3: Convert Fractions to Equivalent Fractions

Convert 136101 to 544404
Convert 64 to 606404

Step 4: Add the Numerators

Add the numerators: 544 + 606 = 1150

Step 5: Simplify the Fraction

We can simplify 1150404 to its lowest form.
The greatest common divisor (GCD) of 1150 and 404 is 2.
Dividing both numerator and denominator by the GCD, we get 575202.

Step 6: Convert to Mixed Number

The fraction 575202 can be written as the mixed number 2171202.

Final Answer

The result of 136/101 added to 6/4 is:

136101+64=2171202

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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