17/242 added to 26/4 in Fraction Form

The result of 17/242 added to 26/4 is: 6 69/121

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17242 and 264.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 242 and 4 is 484.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17242 to 34484
Convert 264 to 3146484

Step 4: Add the Numerators

Add the numerators: 34 + 3146 = 3180

Step 5: Simplify the Fraction

We can simplify 3180484 to its lowest form.
The greatest common divisor (GCD) of 3180 and 484 is 4.
Dividing both numerator and denominator by the GCD, we get 795121.

Step 6: Convert to Mixed Number

The fraction 795121 can be written as the mixed number 669121.

Final Answer

The result of 17/242 added to 26/4 is:

17242+264=669121

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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