20/258 added to 10/4 in Fraction Form

The result of 20/258 added to 10/4 is: 2 149/258

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20258 and 104.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 258 and 4 is 516.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20258 to 40516
Convert 104 to 1290516

Step 4: Add the Numerators

Add the numerators: 40 + 1290 = 1330

Step 5: Simplify the Fraction

We can simplify 1330516 to its lowest form.
The greatest common divisor (GCD) of 1330 and 516 is 2.
Dividing both numerator and denominator by the GCD, we get 665258.

Step 6: Convert to Mixed Number

The fraction 665258 can be written as the mixed number 2149258.

Final Answer

The result of 20/258 added to 10/4 is:

20258+104=2149258

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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