10/259 added to 12/4 in Fraction Form

The result of 10/259 added to 12/4 is: 3 10/259

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 10259 and 124.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 259 and 4 is 1036.

Step 3: Convert Fractions to Equivalent Fractions

Convert 10259 to 401036
Convert 124 to 31081036

Step 4: Add the Numerators

Add the numerators: 40 + 3108 = 3148

Step 5: Simplify the Fraction

We can simplify 31481036 to its lowest form.
The greatest common divisor (GCD) of 3148 and 1036 is 4.
Dividing both numerator and denominator by the GCD, we get 787259.

Step 6: Convert to Mixed Number

The fraction 787259 can be written as the mixed number 310259.

Final Answer

The result of 10/259 added to 12/4 is:

10259+124=310259

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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