17/101 added to 26/4 in Fraction Form

The result of 17/101 added to 26/4 is: 6 135/202

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17101 and 264.

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 17101 to 68404
Convert 264 to 2626404

Step 4: Add the Numerators

Add the numerators: 68 + 2626 = 2694

Step 5: Simplify the Fraction

We can simplify 2694404 to its lowest form.
The greatest common divisor (GCD) of 2694 and 404 is 2.
Dividing both numerator and denominator by the GCD, we get 1347202.

Step 6: Convert to Mixed Number

The fraction 1347202 can be written as the mixed number 6135202.

Final Answer

The result of 17/101 added to 26/4 is:

17101+264=6135202

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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