10/104 added to 48/4 in Fraction Form

The result of 10/104 added to 48/4 is: 12 5/52

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 10104 and 484.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 104 and 4 is 104.

Step 3: Convert Fractions to Equivalent Fractions

Convert 10104 to 10104
Convert 484 to 1248104

Step 4: Add the Numerators

Add the numerators: 10 + 1248 = 1258

Step 5: Simplify the Fraction

We can simplify 1258104 to its lowest form.
The greatest common divisor (GCD) of 1258 and 104 is 2.
Dividing both numerator and denominator by the GCD, we get 62952.

Step 6: Convert to Mixed Number

The fraction 62952 can be written as the mixed number 12552.

Final Answer

The result of 10/104 added to 48/4 is:

10104+484=12552

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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