43/102 added to 124/4 in Fraction Form

The result of 43/102 added to 124/4 is: 31 43/102

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 43102 and 1244.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 102 and 4 is 204.

Step 3: Convert Fractions to Equivalent Fractions

Convert 43102 to 86204
Convert 1244 to 6324204

Step 4: Add the Numerators

Add the numerators: 86 + 6324 = 6410

Step 5: Simplify the Fraction

We can simplify 6410204 to its lowest form.
The greatest common divisor (GCD) of 6410 and 204 is 2.
Dividing both numerator and denominator by the GCD, we get 3205102.

Step 6: Convert to Mixed Number

The fraction 3205102 can be written as the mixed number 3143102.

Final Answer

The result of 43/102 added to 124/4 is:

43102+1244=3143102

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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