118/114 added to 102/4 in Fraction Form

The result of 118/114 added to 102/4 is: 26 61/114

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 118114 and 1024.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 114 and 4 is 228.

Step 3: Convert Fractions to Equivalent Fractions

Convert 118114 to 236228
Convert 1024 to 5814228

Step 4: Add the Numerators

Add the numerators: 236 + 5814 = 6050

Step 5: Simplify the Fraction

We can simplify 6050228 to its lowest form.
The greatest common divisor (GCD) of 6050 and 228 is 2.
Dividing both numerator and denominator by the GCD, we get 3025114.

Step 6: Convert to Mixed Number

The fraction 3025114 can be written as the mixed number 2661114.

Final Answer

The result of 118/114 added to 102/4 is:

118114+1024=2661114

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

Calculate operations between any two fractions: