38/261 added to 10/2 in Fraction Form

The result of 38/261 added to 10/2 is: 5 38/261

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 38261 and 102.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 261 and 2 is 522.

Step 3: Convert Fractions to Equivalent Fractions

Convert 38261 to 76522
Convert 102 to 2610522

Step 4: Add the Numerators

Add the numerators: 76 + 2610 = 2686

Step 5: Simplify the Fraction

We can simplify 2686522 to its lowest form.
The greatest common divisor (GCD) of 2686 and 522 is 2.
Dividing both numerator and denominator by the GCD, we get 1343261.

Step 6: Convert to Mixed Number

The fraction 1343261 can be written as the mixed number 538261.

Final Answer

The result of 38/261 added to 10/2 is:

38261+102=538261

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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