69/118 added to 120/4 in Fraction Form

The result of 69/118 added to 120/4 is: 30 69/118

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 69118 and 1204.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 118 and 4 is 236.

Step 3: Convert Fractions to Equivalent Fractions

Convert 69118 to 138236
Convert 1204 to 7080236

Step 4: Add the Numerators

Add the numerators: 138 + 7080 = 7218

Step 5: Simplify the Fraction

We can simplify 7218236 to its lowest form.
The greatest common divisor (GCD) of 7218 and 236 is 2.
Dividing both numerator and denominator by the GCD, we get 3609118.

Step 6: Convert to Mixed Number

The fraction 3609118 can be written as the mixed number 3069118.

Final Answer

The result of 69/118 added to 120/4 is:

69118+1204=3069118

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

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