28/118 added to 164/4 in Fraction Form

The result of 28/118 added to 164/4 is: 41 14/59

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 28118 and 1644.

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 28118 to 56236
Convert 1644 to 9676236

Step 4: Add the Numerators

Add the numerators: 56 + 9676 = 9732

Step 5: Simplify the Fraction

We can simplify 9732236 to its lowest form.
The greatest common divisor (GCD) of 9732 and 236 is 4.
Dividing both numerator and denominator by the GCD, we get 243359.

Step 6: Convert to Mixed Number

The fraction 243359 can be written as the mixed number 411459.

Final Answer

The result of 28/118 added to 164/4 is:

28118+1644=411459

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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