20/261 added to 10/4 in Fraction Form

The result of 20/261 added to 10/4 is: 2 301/522

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20261 and 104.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 261 and 4 is 1044.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20261 to 801044
Convert 104 to 26101044

Step 4: Add the Numerators

Add the numerators: 80 + 2610 = 2690

Step 5: Simplify the Fraction

We can simplify 26901044 to its lowest form.
The greatest common divisor (GCD) of 2690 and 1044 is 2.
Dividing both numerator and denominator by the GCD, we get 1345522.

Step 6: Convert to Mixed Number

The fraction 1345522 can be written as the mixed number 2301522.

Final Answer

The result of 20/261 added to 10/4 is:

20261+104=2301522

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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